Lumer–Phillips theorem: Difference between revisions

Revision as of 23:26, 22 June 2013

A pump is an alternating current-driven device that generates a direct current (DC). In the simplest configuration a pump has two leads connected to two reservoirs. In such open geometry the pump takes particles from one reservoir and emits them into the other. Accordingly a current is produced even if the reservoirs have the same temperature and chemical potential.

Stirring is the operation of inducing a circulating current with a non-vanishing DC component in a closed system. The simplest geometry is obtained by integrating a pump in a closed circuit. More generally one can consider any type of stirring mechanism such as moving a spoon in a cup of coffee.

Main observations

Template:Quantum Pumping and stirring effects in quantum physics have counterparts in purely classical stochastic and dissipative processes.^[1] The studies of quantum pumping^[2]^[3] and of quantum stirring^[4] emphasize the role of quantum interference in the analysis of the induced current. A major objective is to calculate the amount $Q$ of transported particles per a driving cycle. There are circumstances in which $Q$ is an integer number due to the topology of parameter space.^[5] More generally $Q$ is affected by inter-particle interactions, disorder, chaos, noise and dissipation.

Electric stirring explicitly breaks time-reversal symmetry. This property can be used to induce spin polarization in conventional semiconductors by purely electric means.^[6] Strictly speaking stirring is a non-linear effect, because in linear response theory (LRT) an AC driving induces an AC current with the same frequency. Still an adaptation of the LRT Kubo formalism allows the analysis of stirring. The quantum pumping problem (where we have an open geometry) can be regarded as a special limit of the quantum stirring problem (where we have a closed geometry). Optionally the latter can be analyzed within the framework of scattering theory. Pumping and Stirring devices are close relatives of ratchet systems.^[7] The latter are defined in this context as AC driven spatially periodic arrays, where DC current is induced.

It is possible to induce a DC current by applying a bias, or if the particles are charged then by applying an electro-motive-force. In contrast to that a quantum pumping mechanism produces a DC current in response to a cyclic deformation of the confining potential. In order to have a DC current from an AC driving, time reversal symmetry (TRS) should be broken. In the absence of magnetic field and dissipation it is the driving itself that can break TRS. Accordingly, an adiabatic pump operation is based on varying more than one parameter, while for non-adiabatic pumps ^[8] ^[9]^[10] modulation of a single parameter may suffice for DC current generation. The best known example is the peristaltic mechanism that combines a cyclic squeezing operation with on/off switching of entrance/exit valves.

The Kubo approach to quantum stirring

Consider a closed system which is described by a Hamiltonian $ℋ (X)$ that depends on some control parameters $X = (X_{1}, X_{2}, X_{3})$ . If $X_{3}$ is an Aharonov Bohm magnetic flux through the ring, then by Faraday law $- \dot{X_{3}}$ is the electro motive force. If linear response theory applies we have the proportionality $I = - G^{33} {\dot{X}}_{3}$ , where $G^{33}$ is the called the Ohmic conductance. In complete analogy if we change $X_{1}$ the current is $I = - G^{31} {\dot{X}}_{1}$ , and if we change $X_{2}$ the current is $I = - G^{32} {\dot{X}}_{2}$ , where $G^{31}$ and $G^{32}$ are elements of a conductance matrix. Accordingly for a full pumping cycle:

Q = \oint_{cycle} I d t = - \oint (G^{31} d X_{1} + G^{32} d X_{2})

The conductance can be calculated and analyzed using the Kubo formula approach to quantum pumping,^[11] which is based on the theory of adiabatic processes.^[5] Here we write the expression that applies in the case of low frequency "quasi static" driving process (the popular terms "DC driving" and "adiabatic driving" turn out to be misleading so we do not use them):

G^{3 j} = \frac{i}{ℏ} \int_{0}^{\infty} ⟨ [ℐ (t), ℱ^{j} (0)] ⟩ t d t

where $ℐ$ is the current operator, and $ℱ^{j} = - \partial ℋ / \partial X_{j}$ is the generalized force that is associated with the control parameter $X_{j}$ . Though this formula is written using quantum mechanical notations it holds also classically if the commutator is replaced by Poisson brackets. In general $G$ can be written as a sum of two terms: one has to do with dissipation, while the other, denoted as $B$ has to do with geometry. The dissipative part vanishes in the strict quantum adiabatic limit, while the geometrical part $B$ might be non-zero. It turns out that in the strict adiabatic limit $B$ is the "Berry curvature" (mathematically known as ``two-form"). Using the notations $B_{1} = - G^{32}$ and $B_{2} = G^{31}$ we can rewrite the formula for the amount of pumped particles as

Q = \oint \vec{B} \cdot \vec{d s}

where we define the normal vector $\vec{d s} = (d X_{2}, - d X_{1})$ as illustrated. The advantage of this point of view is in the intuition that it gives for the result: $Q$ is related to the flux of a field $\vec{B}$ which is created (so to say) by "magnetic charges" in $X$ space. In practice the calculation of $\vec{B}$ is done using the following formula:

B_{j} = \sum_{n (\neq n_{0})} \frac{2 ℏ I m [ℐ_{n_{0} n} ℱ_{n n_{0}}^{j}]}{(E_{n} - E_{n_{0}})^{2}}

This formula can be regarded as the quantum adiabatic limit of the Kubo formula. The eigenstates of the system are labeled by the index $n$ . These are in general many body states, and the energies are in general many body energies. At finite temperatures a thermal average over $n_{0}$ is implicit. The field $B$ can be regarded as the rotor of "vector potential" $A$ (mathematically known as the "one-form"). Namely, $\vec{B} = \nabla \land \vec{A}$ . The ``Berry phase" which is acquired by a wavefunction at the end of a closed cycle is

Berry phase = \frac{1}{ℏ} \oint \vec{A} \cdot d \vec{X}

Accordingly one can argue that the "magnetic charge" that generates (so to say) the $B$ field consists of quantized "Dirac monopoles". It follows from gauge invariance that the degeneracies of the system are arranged as vertical Dirac chains. The "Dirac monopoles" are situated at $X$ points where $n_{0}$ has a degeneracy with another level. The Dirac monopoles picture^[12] is useful for charge transport analysis: the amount of transported charge is determined by the number of the Dirac chains encircled by the pumping cycle. Optionally it is possible to evaluate the transported charge per pumping cycle from the Berry phase by differentiating it with respect to the Aharonov–Bohm flux through the device.^[13]

The scattering approach to quantum pumping

The Ohmic conductance of a mesoscopic device that is connected by leads to reservoirs is given by the Landauer formula: in dimensionless units the Ohmic conductance of an open channel equals its transmission. The extension of this scattering point of view in the context of quantum pumping leads to the Brouwer-Buttiker-Pretre-Thomas (BPT) formula^[2] which relates the geometric conductance to the $S$ matrix of the pump:

G^{3 j} = \frac{1}{2 π i} t r a c e (P_{A} \frac{\partial S}{\partial X_{j}} S^{†})

Here $P_{A}$ is a projector that restrict the trace operations to the open channels of the lead where the current is measured. This BPT formula has been originally derived using a scattering approach,^[14] but later its relation to the Kubo formula has been worked out.^[15]

The effect of Interactions

A very recent work considers the role of interactions in the stirring of Bose condensed particles.^[16] Otherwise the rest of the literature concerns primarily electronic devices.^[17] Typically the pump is modeled as a quantum dot. The effect of electron-electron interactions within the dot region is taken into account in the Coulomb blockade regime or in the Kondo regime. In the former case charge transport is quantized even in the case of small back scattering. Deviation from the exact quantized value is related to dissipation. In the Kondo regime, as the temperature is lowered, the pumping effect is modified. There are also works that consider interactions over the whole system (including the leads) using the Luttinger liquid model.

References

43 year old Petroleum Engineer Harry from Deep River, usually spends time with hobbies and interests like renting movies, property developers in singapore new condominium and vehicle racing. Constantly enjoys going to destinations like Camino Real de Tierra Adentro.

Unsorted

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↑ Many property agents need to declare for the PIC grant in Singapore. However, not all of them know find out how to do the correct process for getting this PIC scheme from the IRAS. There are a number of steps that you need to do before your software can be approved.

Naturally, you will have to pay a safety deposit and that is usually one month rent for annually of the settlement. That is the place your good religion deposit will likely be taken into account and will kind part or all of your security deposit. Anticipate to have a proportionate amount deducted out of your deposit if something is discovered to be damaged if you move out. It's best to you'll want to test the inventory drawn up by the owner, which can detail all objects in the property and their condition. If you happen to fail to notice any harm not already mentioned within the inventory before transferring in, you danger having to pay for it yourself.

In case you are in search of an actual estate or Singapore property agent on-line, you simply should belief your intuition. It's because you do not know which agent is nice and which agent will not be. Carry out research on several brokers by looking out the internet. As soon as if you end up positive that a selected agent is dependable and reliable, you can choose to utilize his partnerise in finding you a home in Singapore. Most of the time, a property agent is taken into account to be good if he or she locations the contact data on his website. This may mean that the agent does not mind you calling them and asking them any questions relating to new properties in singapore in Singapore. After chatting with them you too can see them in their office after taking an appointment.

Have handed an trade examination i.e Widespread Examination for House Brokers (CEHA) or Actual Property Agency (REA) examination, or equal; Exclusive brokers are extra keen to share listing information thus making certain the widest doable coverage inside the real estate community via Multiple Listings and Networking. Accepting a severe provide is simpler since your agent is totally conscious of all advertising activity related with your property. This reduces your having to check with a number of agents for some other offers. Price control is easily achieved. Paint work in good restore-discuss with your Property Marketing consultant if main works are still to be done. Softening in residential property prices proceed, led by 2.8 per cent decline within the index for Remainder of Central Region

Once you place down the one per cent choice price to carry down a non-public property, it's important to accept its situation as it is whenever you move in – faulty air-con, choked rest room and all. Get round this by asking your agent to incorporate a ultimate inspection clause within the possibility-to-buy letter. HDB flat patrons routinely take pleasure in this security net. "There's a ultimate inspection of the property two days before the completion of all HDB transactions. If the air-con is defective, you can request the seller to repair it," says Kelvin.

15.6.1 As the agent is an intermediary, generally, as soon as the principal and third party are introduced right into a contractual relationship, the agent drops out of the image, subject to any problems with remuneration or indemnification that he could have against the principal, and extra exceptionally, against the third occasion. Generally, agents are entitled to be indemnified for all liabilities reasonably incurred within the execution of the brokers´ authority.

To achieve the very best outcomes, you must be always updated on market situations, including past transaction information and reliable projections. You could review and examine comparable homes that are currently available in the market, especially these which have been sold or not bought up to now six months. You'll be able to see a pattern of such report by clicking here It's essential to defend yourself in opposition to unscrupulous patrons. They are often very skilled in using highly unethical and manipulative techniques to try and lure you into a lure. That you must also protect your self, your loved ones, and personal belongings as you'll be serving many strangers in your home. Sign a listing itemizing of all of the objects provided by the proprietor, together with their situation. HSR Prime Recruiter 2010
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↑ Many property agents need to declare for the PIC grant in Singapore. However, not all of them know find out how to do the correct process for getting this PIC scheme from the IRAS. There are a number of steps that you need to do before your software can be approved.

Naturally, you will have to pay a safety deposit and that is usually one month rent for annually of the settlement. That is the place your good religion deposit will likely be taken into account and will kind part or all of your security deposit. Anticipate to have a proportionate amount deducted out of your deposit if something is discovered to be damaged if you move out. It's best to you'll want to test the inventory drawn up by the owner, which can detail all objects in the property and their condition. If you happen to fail to notice any harm not already mentioned within the inventory before transferring in, you danger having to pay for it yourself.

In case you are in search of an actual estate or Singapore property agent on-line, you simply should belief your intuition. It's because you do not know which agent is nice and which agent will not be. Carry out research on several brokers by looking out the internet. As soon as if you end up positive that a selected agent is dependable and reliable, you can choose to utilize his partnerise in finding you a home in Singapore. Most of the time, a property agent is taken into account to be good if he or she locations the contact data on his website. This may mean that the agent does not mind you calling them and asking them any questions relating to new properties in singapore in Singapore. After chatting with them you too can see them in their office after taking an appointment.

Have handed an trade examination i.e Widespread Examination for House Brokers (CEHA) or Actual Property Agency (REA) examination, or equal; Exclusive brokers are extra keen to share listing information thus making certain the widest doable coverage inside the real estate community via Multiple Listings and Networking. Accepting a severe provide is simpler since your agent is totally conscious of all advertising activity related with your property. This reduces your having to check with a number of agents for some other offers. Price control is easily achieved. Paint work in good restore-discuss with your Property Marketing consultant if main works are still to be done. Softening in residential property prices proceed, led by 2.8 per cent decline within the index for Remainder of Central Region

Once you place down the one per cent choice price to carry down a non-public property, it's important to accept its situation as it is whenever you move in – faulty air-con, choked rest room and all. Get round this by asking your agent to incorporate a ultimate inspection clause within the possibility-to-buy letter. HDB flat patrons routinely take pleasure in this security net. "There's a ultimate inspection of the property two days before the completion of all HDB transactions. If the air-con is defective, you can request the seller to repair it," says Kelvin.

15.6.1 As the agent is an intermediary, generally, as soon as the principal and third party are introduced right into a contractual relationship, the agent drops out of the image, subject to any problems with remuneration or indemnification that he could have against the principal, and extra exceptionally, against the third occasion. Generally, agents are entitled to be indemnified for all liabilities reasonably incurred within the execution of the brokers´ authority.

To achieve the very best outcomes, you must be always updated on market situations, including past transaction information and reliable projections. You could review and examine comparable homes that are currently available in the market, especially these which have been sold or not bought up to now six months. You'll be able to see a pattern of such report by clicking here It's essential to defend yourself in opposition to unscrupulous patrons. They are often very skilled in using highly unethical and manipulative techniques to try and lure you into a lure. That you must also protect your self, your loved ones, and personal belongings as you'll be serving many strangers in your home. Sign a listing itemizing of all of the objects provided by the proprietor, together with their situation. HSR Prime Recruiter 2010.
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↑ Many property agents need to declare for the PIC grant in Singapore. However, not all of them know find out how to do the correct process for getting this PIC scheme from the IRAS. There are a number of steps that you need to do before your software can be approved.

Naturally, you will have to pay a safety deposit and that is usually one month rent for annually of the settlement. That is the place your good religion deposit will likely be taken into account and will kind part or all of your security deposit. Anticipate to have a proportionate amount deducted out of your deposit if something is discovered to be damaged if you move out. It's best to you'll want to test the inventory drawn up by the owner, which can detail all objects in the property and their condition. If you happen to fail to notice any harm not already mentioned within the inventory before transferring in, you danger having to pay for it yourself.

In case you are in search of an actual estate or Singapore property agent on-line, you simply should belief your intuition. It's because you do not know which agent is nice and which agent will not be. Carry out research on several brokers by looking out the internet. As soon as if you end up positive that a selected agent is dependable and reliable, you can choose to utilize his partnerise in finding you a home in Singapore. Most of the time, a property agent is taken into account to be good if he or she locations the contact data on his website. This may mean that the agent does not mind you calling them and asking them any questions relating to new properties in singapore in Singapore. After chatting with them you too can see them in their office after taking an appointment.

Have handed an trade examination i.e Widespread Examination for House Brokers (CEHA) or Actual Property Agency (REA) examination, or equal; Exclusive brokers are extra keen to share listing information thus making certain the widest doable coverage inside the real estate community via Multiple Listings and Networking. Accepting a severe provide is simpler since your agent is totally conscious of all advertising activity related with your property. This reduces your having to check with a number of agents for some other offers. Price control is easily achieved. Paint work in good restore-discuss with your Property Marketing consultant if main works are still to be done. Softening in residential property prices proceed, led by 2.8 per cent decline within the index for Remainder of Central Region

Once you place down the one per cent choice price to carry down a non-public property, it's important to accept its situation as it is whenever you move in – faulty air-con, choked rest room and all. Get round this by asking your agent to incorporate a ultimate inspection clause within the possibility-to-buy letter. HDB flat patrons routinely take pleasure in this security net. "There's a ultimate inspection of the property two days before the completion of all HDB transactions. If the air-con is defective, you can request the seller to repair it," says Kelvin.

15.6.1 As the agent is an intermediary, generally, as soon as the principal and third party are introduced right into a contractual relationship, the agent drops out of the image, subject to any problems with remuneration or indemnification that he could have against the principal, and extra exceptionally, against the third occasion. Generally, agents are entitled to be indemnified for all liabilities reasonably incurred within the execution of the brokers´ authority.

To achieve the very best outcomes, you must be always updated on market situations, including past transaction information and reliable projections. You could review and examine comparable homes that are currently available in the market, especially these which have been sold or not bought up to now six months. You'll be able to see a pattern of such report by clicking here It's essential to defend yourself in opposition to unscrupulous patrons. They are often very skilled in using highly unethical and manipulative techniques to try and lure you into a lure. That you must also protect your self, your loved ones, and personal belongings as you'll be serving many strangers in your home. Sign a listing itemizing of all of the objects provided by the proprietor, together with their situation. HSR Prime Recruiter 2010
↑ Many property agents need to declare for the PIC grant in Singapore. However, not all of them know find out how to do the correct process for getting this PIC scheme from the IRAS. There are a number of steps that you need to do before your software can be approved.

Naturally, you will have to pay a safety deposit and that is usually one month rent for annually of the settlement. That is the place your good religion deposit will likely be taken into account and will kind part or all of your security deposit. Anticipate to have a proportionate amount deducted out of your deposit if something is discovered to be damaged if you move out. It's best to you'll want to test the inventory drawn up by the owner, which can detail all objects in the property and their condition. If you happen to fail to notice any harm not already mentioned within the inventory before transferring in, you danger having to pay for it yourself.

In case you are in search of an actual estate or Singapore property agent on-line, you simply should belief your intuition. It's because you do not know which agent is nice and which agent will not be. Carry out research on several brokers by looking out the internet. As soon as if you end up positive that a selected agent is dependable and reliable, you can choose to utilize his partnerise in finding you a home in Singapore. Most of the time, a property agent is taken into account to be good if he or she locations the contact data on his website. This may mean that the agent does not mind you calling them and asking them any questions relating to new properties in singapore in Singapore. After chatting with them you too can see them in their office after taking an appointment.

Have handed an trade examination i.e Widespread Examination for House Brokers (CEHA) or Actual Property Agency (REA) examination, or equal; Exclusive brokers are extra keen to share listing information thus making certain the widest doable coverage inside the real estate community via Multiple Listings and Networking. Accepting a severe provide is simpler since your agent is totally conscious of all advertising activity related with your property. This reduces your having to check with a number of agents for some other offers. Price control is easily achieved. Paint work in good restore-discuss with your Property Marketing consultant if main works are still to be done. Softening in residential property prices proceed, led by 2.8 per cent decline within the index for Remainder of Central Region

Once you place down the one per cent choice price to carry down a non-public property, it's important to accept its situation as it is whenever you move in – faulty air-con, choked rest room and all. Get round this by asking your agent to incorporate a ultimate inspection clause within the possibility-to-buy letter. HDB flat patrons routinely take pleasure in this security net. "There's a ultimate inspection of the property two days before the completion of all HDB transactions. If the air-con is defective, you can request the seller to repair it," says Kelvin.

15.6.1 As the agent is an intermediary, generally, as soon as the principal and third party are introduced right into a contractual relationship, the agent drops out of the image, subject to any problems with remuneration or indemnification that he could have against the principal, and extra exceptionally, against the third occasion. Generally, agents are entitled to be indemnified for all liabilities reasonably incurred within the execution of the brokers´ authority.

To achieve the very best outcomes, you must be always updated on market situations, including past transaction information and reliable projections. You could review and examine comparable homes that are currently available in the market, especially these which have been sold or not bought up to now six months. You'll be able to see a pattern of such report by clicking here It's essential to defend yourself in opposition to unscrupulous patrons. They are often very skilled in using highly unethical and manipulative techniques to try and lure you into a lure. That you must also protect your self, your loved ones, and personal belongings as you'll be serving many strangers in your home. Sign a listing itemizing of all of the objects provided by the proprietor, together with their situation. HSR Prime Recruiter 2010
↑ Many property agents need to declare for the PIC grant in Singapore. However, not all of them know find out how to do the correct process for getting this PIC scheme from the IRAS. There are a number of steps that you need to do before your software can be approved.

Naturally, you will have to pay a safety deposit and that is usually one month rent for annually of the settlement. That is the place your good religion deposit will likely be taken into account and will kind part or all of your security deposit. Anticipate to have a proportionate amount deducted out of your deposit if something is discovered to be damaged if you move out. It's best to you'll want to test the inventory drawn up by the owner, which can detail all objects in the property and their condition. If you happen to fail to notice any harm not already mentioned within the inventory before transferring in, you danger having to pay for it yourself.

In case you are in search of an actual estate or Singapore property agent on-line, you simply should belief your intuition. It's because you do not know which agent is nice and which agent will not be. Carry out research on several brokers by looking out the internet. As soon as if you end up positive that a selected agent is dependable and reliable, you can choose to utilize his partnerise in finding you a home in Singapore. Most of the time, a property agent is taken into account to be good if he or she locations the contact data on his website. This may mean that the agent does not mind you calling them and asking them any questions relating to new properties in singapore in Singapore. After chatting with them you too can see them in their office after taking an appointment.

Have handed an trade examination i.e Widespread Examination for House Brokers (CEHA) or Actual Property Agency (REA) examination, or equal; Exclusive brokers are extra keen to share listing information thus making certain the widest doable coverage inside the real estate community via Multiple Listings and Networking. Accepting a severe provide is simpler since your agent is totally conscious of all advertising activity related with your property. This reduces your having to check with a number of agents for some other offers. Price control is easily achieved. Paint work in good restore-discuss with your Property Marketing consultant if main works are still to be done. Softening in residential property prices proceed, led by 2.8 per cent decline within the index for Remainder of Central Region

Once you place down the one per cent choice price to carry down a non-public property, it's important to accept its situation as it is whenever you move in – faulty air-con, choked rest room and all. Get round this by asking your agent to incorporate a ultimate inspection clause within the possibility-to-buy letter. HDB flat patrons routinely take pleasure in this security net. "There's a ultimate inspection of the property two days before the completion of all HDB transactions. If the air-con is defective, you can request the seller to repair it," says Kelvin.

15.6.1 As the agent is an intermediary, generally, as soon as the principal and third party are introduced right into a contractual relationship, the agent drops out of the image, subject to any problems with remuneration or indemnification that he could have against the principal, and extra exceptionally, against the third occasion. Generally, agents are entitled to be indemnified for all liabilities reasonably incurred within the execution of the brokers´ authority.

To achieve the very best outcomes, you must be always updated on market situations, including past transaction information and reliable projections. You could review and examine comparable homes that are currently available in the market, especially these which have been sold or not bought up to now six months. You'll be able to see a pattern of such report by clicking here It's essential to defend yourself in opposition to unscrupulous patrons. They are often very skilled in using highly unethical and manipulative techniques to try and lure you into a lure. That you must also protect your self, your loved ones, and personal belongings as you'll be serving many strangers in your home. Sign a listing itemizing of all of the objects provided by the proprietor, together with their situation. HSR Prime Recruiter 2010.
↑ Many property agents need to declare for the PIC grant in Singapore. However, not all of them know find out how to do the correct process for getting this PIC scheme from the IRAS. There are a number of steps that you need to do before your software can be approved.

Naturally, you will have to pay a safety deposit and that is usually one month rent for annually of the settlement. That is the place your good religion deposit will likely be taken into account and will kind part or all of your security deposit. Anticipate to have a proportionate amount deducted out of your deposit if something is discovered to be damaged if you move out. It's best to you'll want to test the inventory drawn up by the owner, which can detail all objects in the property and their condition. If you happen to fail to notice any harm not already mentioned within the inventory before transferring in, you danger having to pay for it yourself.

In case you are in search of an actual estate or Singapore property agent on-line, you simply should belief your intuition. It's because you do not know which agent is nice and which agent will not be. Carry out research on several brokers by looking out the internet. As soon as if you end up positive that a selected agent is dependable and reliable, you can choose to utilize his partnerise in finding you a home in Singapore. Most of the time, a property agent is taken into account to be good if he or she locations the contact data on his website. This may mean that the agent does not mind you calling them and asking them any questions relating to new properties in singapore in Singapore. After chatting with them you too can see them in their office after taking an appointment.

Have handed an trade examination i.e Widespread Examination for House Brokers (CEHA) or Actual Property Agency (REA) examination, or equal; Exclusive brokers are extra keen to share listing information thus making certain the widest doable coverage inside the real estate community via Multiple Listings and Networking. Accepting a severe provide is simpler since your agent is totally conscious of all advertising activity related with your property. This reduces your having to check with a number of agents for some other offers. Price control is easily achieved. Paint work in good restore-discuss with your Property Marketing consultant if main works are still to be done. Softening in residential property prices proceed, led by 2.8 per cent decline within the index for Remainder of Central Region

Once you place down the one per cent choice price to carry down a non-public property, it's important to accept its situation as it is whenever you move in – faulty air-con, choked rest room and all. Get round this by asking your agent to incorporate a ultimate inspection clause within the possibility-to-buy letter. HDB flat patrons routinely take pleasure in this security net. "There's a ultimate inspection of the property two days before the completion of all HDB transactions. If the air-con is defective, you can request the seller to repair it," says Kelvin.

15.6.1 As the agent is an intermediary, generally, as soon as the principal and third party are introduced right into a contractual relationship, the agent drops out of the image, subject to any problems with remuneration or indemnification that he could have against the principal, and extra exceptionally, against the third occasion. Generally, agents are entitled to be indemnified for all liabilities reasonably incurred within the execution of the brokers´ authority.

To achieve the very best outcomes, you must be always updated on market situations, including past transaction information and reliable projections. You could review and examine comparable homes that are currently available in the market, especially these which have been sold or not bought up to now six months. You'll be able to see a pattern of such report by clicking here It's essential to defend yourself in opposition to unscrupulous patrons. They are often very skilled in using highly unethical and manipulative techniques to try and lure you into a lure. That you must also protect your self, your loved ones, and personal belongings as you'll be serving many strangers in your home. Sign a listing itemizing of all of the objects provided by the proprietor, together with their situation. HSR Prime Recruiter 2010.
↑ Many property agents need to declare for the PIC grant in Singapore. However, not all of them know find out how to do the correct process for getting this PIC scheme from the IRAS. There are a number of steps that you need to do before your software can be approved.

Naturally, you will have to pay a safety deposit and that is usually one month rent for annually of the settlement. That is the place your good religion deposit will likely be taken into account and will kind part or all of your security deposit. Anticipate to have a proportionate amount deducted out of your deposit if something is discovered to be damaged if you move out. It's best to you'll want to test the inventory drawn up by the owner, which can detail all objects in the property and their condition. If you happen to fail to notice any harm not already mentioned within the inventory before transferring in, you danger having to pay for it yourself.

In case you are in search of an actual estate or Singapore property agent on-line, you simply should belief your intuition. It's because you do not know which agent is nice and which agent will not be. Carry out research on several brokers by looking out the internet. As soon as if you end up positive that a selected agent is dependable and reliable, you can choose to utilize his partnerise in finding you a home in Singapore. Most of the time, a property agent is taken into account to be good if he or she locations the contact data on his website. This may mean that the agent does not mind you calling them and asking them any questions relating to new properties in singapore in Singapore. After chatting with them you too can see them in their office after taking an appointment.

Have handed an trade examination i.e Widespread Examination for House Brokers (CEHA) or Actual Property Agency (REA) examination, or equal; Exclusive brokers are extra keen to share listing information thus making certain the widest doable coverage inside the real estate community via Multiple Listings and Networking. Accepting a severe provide is simpler since your agent is totally conscious of all advertising activity related with your property. This reduces your having to check with a number of agents for some other offers. Price control is easily achieved. Paint work in good restore-discuss with your Property Marketing consultant if main works are still to be done. Softening in residential property prices proceed, led by 2.8 per cent decline within the index for Remainder of Central Region

Once you place down the one per cent choice price to carry down a non-public property, it's important to accept its situation as it is whenever you move in – faulty air-con, choked rest room and all. Get round this by asking your agent to incorporate a ultimate inspection clause within the possibility-to-buy letter. HDB flat patrons routinely take pleasure in this security net. "There's a ultimate inspection of the property two days before the completion of all HDB transactions. If the air-con is defective, you can request the seller to repair it," says Kelvin.

15.6.1 As the agent is an intermediary, generally, as soon as the principal and third party are introduced right into a contractual relationship, the agent drops out of the image, subject to any problems with remuneration or indemnification that he could have against the principal, and extra exceptionally, against the third occasion. Generally, agents are entitled to be indemnified for all liabilities reasonably incurred within the execution of the brokers´ authority.

To achieve the very best outcomes, you must be always updated on market situations, including past transaction information and reliable projections. You could review and examine comparable homes that are currently available in the market, especially these which have been sold or not bought up to now six months. You'll be able to see a pattern of such report by clicking here It's essential to defend yourself in opposition to unscrupulous patrons. They are often very skilled in using highly unethical and manipulative techniques to try and lure you into a lure. That you must also protect your self, your loved ones, and personal belongings as you'll be serving many strangers in your home. Sign a listing itemizing of all of the objects provided by the proprietor, together with their situation. HSR Prime Recruiter 2010
↑ M. Aunola and J. J. Toppari, Phys. Rev. B 68, 020502 (2003).
↑ M. Buttiker, H. Thomas and A Pretre, Z. Phys. B Condens. Mat. 94, 133 (1994).
↑ D. Cohen, Phys. Rev. B 68, 201303(R) (2003).
↑ M. Hiller, T. Kottos and D. Cohen, Europhysics Letters 82, 40006 (2008); Phys. Rev. A 78, 013602 (2008).
↑ I. L Aleiner and A. V andreev Phys. Rev. Lett. 81 (1998) 1286
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J. Splettstosser, M. Governale, J. Konig and R. Fazio cond-mat/0506080
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Q. Niu and D. J. Thouless J. Phys. A 17 (1984) 2453
P. Sharma and C. Chamon Phys. Rev. Lett. 87 (2001) 96401
A. V. Andreev and E. G. Mishchenko Phys. Rev. B 64 (2001) 233316
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F. Cavaliere, M. Governale, and J. König Phys. Rev. Lett. 103 (2009) 136801

[sinitsyn-09jpa-1] Many property agents need to declare for the PIC grant in Singapore. However, not all of them know find out how to do the correct process for getting this PIC scheme from the IRAS. There are a number of steps that you need to do before your software can be approved.

Naturally, you will have to pay a safety deposit and that is usually one month rent for annually of the settlement. That is the place your good religion deposit will likely be taken into account and will kind part or all of your security deposit. Anticipate to have a proportionate amount deducted out of your deposit if something is discovered to be damaged if you move out. It's best to you'll want to test the inventory drawn up by the owner, which can detail all objects in the property and their condition. If you happen to fail to notice any harm not already mentioned within the inventory before transferring in, you danger having to pay for it yourself.

In case you are in search of an actual estate or Singapore property agent on-line, you simply should belief your intuition. It's because you do not know which agent is nice and which agent will not be. Carry out research on several brokers by looking out the internet. As soon as if you end up positive that a selected agent is dependable and reliable, you can choose to utilize his partnerise in finding you a home in Singapore. Most of the time, a property agent is taken into account to be good if he or she locations the contact data on his website. This may mean that the agent does not mind you calling them and asking them any questions relating to new properties in singapore in Singapore. After chatting with them you too can see them in their office after taking an appointment.

Have handed an trade examination i.e Widespread Examination for House Brokers (CEHA) or Actual Property Agency (REA) examination, or equal; Exclusive brokers are extra keen to share listing information thus making certain the widest doable coverage inside the real estate community via Multiple Listings and Networking. Accepting a severe provide is simpler since your agent is totally conscious of all advertising activity related with your property. This reduces your having to check with a number of agents for some other offers. Price control is easily achieved. Paint work in good restore-discuss with your Property Marketing consultant if main works are still to be done. Softening in residential property prices proceed, led by 2.8 per cent decline within the index for Remainder of Central Region

Once you place down the one per cent choice price to carry down a non-public property, it's important to accept its situation as it is whenever you move in – faulty air-con, choked rest room and all. Get round this by asking your agent to incorporate a ultimate inspection clause within the possibility-to-buy letter. HDB flat patrons routinely take pleasure in this security net. "There's a ultimate inspection of the property two days before the completion of all HDB transactions. If the air-con is defective, you can request the seller to repair it," says Kelvin.

15.6.1 As the agent is an intermediary, generally, as soon as the principal and third party are introduced right into a contractual relationship, the agent drops out of the image, subject to any problems with remuneration or indemnification that he could have against the principal, and extra exceptionally, against the third occasion. Generally, agents are entitled to be indemnified for all liabilities reasonably incurred within the execution of the brokers´ authority.

To achieve the very best outcomes, you must be always updated on market situations, including past transaction information and reliable projections. You could review and examine comparable homes that are currently available in the market, especially these which have been sold or not bought up to now six months. You'll be able to see a pattern of such report by clicking here It's essential to defend yourself in opposition to unscrupulous patrons. They are often very skilled in using highly unethical and manipulative techniques to try and lure you into a lure. That you must also protect your self, your loved ones, and personal belongings as you'll be serving many strangers in your home. Sign a listing itemizing of all of the objects provided by the proprietor, together with their situation. HSR Prime Recruiter 2010

[Qpump_P1-P6-2] 2.0 ^2.1 M. Buttiker, H. Thomas and A Pretre, Z. Phys. B Condens. Mat. 94, 133 (1994).
P. W. Brouwer, Phys. Rev. B 58, R10135 (1998).
B. L. Altshuler, L. I. Glazman, Science 283, 1864 (1999).
J. A. Avron, A. Elgart, G. M. Graf and L. sadun, Phys. Rev. B 62, R10618 (2000).
D. Cohen, Phys. Rev. B 68, 201303(R) (2003).
M. Moskalets and M. Büttiker, Phys. Rev. B 68, 161311 (2003).

[Experiments_E1-3] M. Switkes, C. M. Marcus, K. Campman, A. C. Gossard, Science 283, 1905 (1999).

[Stirring_S1-S7-4] D. Cohen, arXiv:cond-mat/0208233 (2002).
D. Cohen, Phys. Rev. B 68, 155303 (2003).
M. Aunola and J. J. Toppari, Phys. Rev. B 68, 020502 (2003).
D. Cohen, T. Kottos and H. Schanz, Phys. Rev. E 71, 035202(R) (2005).
G. Rosenberg and D. Cohen, J. Phys. A 39, 2287 (2006).
I. Sela and D. Cohen, J. Phys. A 39, 3575 (2006).
M. Hiller, T. Kottos and D. Cohen, Europhysics Letters 82, 40006 (2008); Phys. Rev. A 78, 013602 (2008).
I. Sela and D. Cohen, Phys. Rev. B 77, 245440 (2008); Phys. Rev. B 78, 155404 (2008).

[Adiabatic_T1–T5-5] 5.0 ^5.1 D. J. Thouless, Phys. Rev. B 27, 6083 (1983).
Q. Niu and D. J. Thouless, J. Phys. A 17, 2453 (1984).
M.V. Berry, Proc. R. Soc. Lond. A 392, 45 (1984).
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M.V. Berry and J.M. Robbins, Proc. R. Soc. Lond. A 442, 659 (1993).

[Pershin2009-6] Many property agents need to declare for the PIC grant in Singapore. However, not all of them know find out how to do the correct process for getting this PIC scheme from the IRAS. There are a number of steps that you need to do before your software can be approved.

Naturally, you will have to pay a safety deposit and that is usually one month rent for annually of the settlement. That is the place your good religion deposit will likely be taken into account and will kind part or all of your security deposit. Anticipate to have a proportionate amount deducted out of your deposit if something is discovered to be damaged if you move out. It's best to you'll want to test the inventory drawn up by the owner, which can detail all objects in the property and their condition. If you happen to fail to notice any harm not already mentioned within the inventory before transferring in, you danger having to pay for it yourself.

In case you are in search of an actual estate or Singapore property agent on-line, you simply should belief your intuition. It's because you do not know which agent is nice and which agent will not be. Carry out research on several brokers by looking out the internet. As soon as if you end up positive that a selected agent is dependable and reliable, you can choose to utilize his partnerise in finding you a home in Singapore. Most of the time, a property agent is taken into account to be good if he or she locations the contact data on his website. This may mean that the agent does not mind you calling them and asking them any questions relating to new properties in singapore in Singapore. After chatting with them you too can see them in their office after taking an appointment.

Have handed an trade examination i.e Widespread Examination for House Brokers (CEHA) or Actual Property Agency (REA) examination, or equal; Exclusive brokers are extra keen to share listing information thus making certain the widest doable coverage inside the real estate community via Multiple Listings and Networking. Accepting a severe provide is simpler since your agent is totally conscious of all advertising activity related with your property. This reduces your having to check with a number of agents for some other offers. Price control is easily achieved. Paint work in good restore-discuss with your Property Marketing consultant if main works are still to be done. Softening in residential property prices proceed, led by 2.8 per cent decline within the index for Remainder of Central Region

Once you place down the one per cent choice price to carry down a non-public property, it's important to accept its situation as it is whenever you move in – faulty air-con, choked rest room and all. Get round this by asking your agent to incorporate a ultimate inspection clause within the possibility-to-buy letter. HDB flat patrons routinely take pleasure in this security net. "There's a ultimate inspection of the property two days before the completion of all HDB transactions. If the air-con is defective, you can request the seller to repair it," says Kelvin.

15.6.1 As the agent is an intermediary, generally, as soon as the principal and third party are introduced right into a contractual relationship, the agent drops out of the image, subject to any problems with remuneration or indemnification that he could have against the principal, and extra exceptionally, against the third occasion. Generally, agents are entitled to be indemnified for all liabilities reasonably incurred within the execution of the brokers´ authority.

To achieve the very best outcomes, you must be always updated on market situations, including past transaction information and reliable projections. You could review and examine comparable homes that are currently available in the market, especially these which have been sold or not bought up to now six months. You'll be able to see a pattern of such report by clicking here It's essential to defend yourself in opposition to unscrupulous patrons. They are often very skilled in using highly unethical and manipulative techniques to try and lure you into a lure. That you must also protect your self, your loved ones, and personal belongings as you'll be serving many strangers in your home. Sign a listing itemizing of all of the objects provided by the proprietor, together with their situation. HSR Prime Recruiter 2010.

[Ratchet_R1-R5-7] P. Reimann Phys. Rep. 361 (2002) 57
H. Schanz, M. F. Otto, R. Ketzmerick and T. Dittrich Phys. Rev. Lett. 87 (2001) 070601
H. Schanz, T. Dittrich and R. Ketzmerick Phys. Rev. E 71 (2005) 026228
T. Dittrich, M. Gutiérrez and G. Sinuco Physica A 327 (2003) 145
H. Linke et al., Appl. Phys. A 75 (2002) 237-246.

[8] Many property agents need to declare for the PIC grant in Singapore. However, not all of them know find out how to do the correct process for getting this PIC scheme from the IRAS. There are a number of steps that you need to do before your software can be approved.

Naturally, you will have to pay a safety deposit and that is usually one month rent for annually of the settlement. That is the place your good religion deposit will likely be taken into account and will kind part or all of your security deposit. Anticipate to have a proportionate amount deducted out of your deposit if something is discovered to be damaged if you move out. It's best to you'll want to test the inventory drawn up by the owner, which can detail all objects in the property and their condition. If you happen to fail to notice any harm not already mentioned within the inventory before transferring in, you danger having to pay for it yourself.

In case you are in search of an actual estate or Singapore property agent on-line, you simply should belief your intuition. It's because you do not know which agent is nice and which agent will not be. Carry out research on several brokers by looking out the internet. As soon as if you end up positive that a selected agent is dependable and reliable, you can choose to utilize his partnerise in finding you a home in Singapore. Most of the time, a property agent is taken into account to be good if he or she locations the contact data on his website. This may mean that the agent does not mind you calling them and asking them any questions relating to new properties in singapore in Singapore. After chatting with them you too can see them in their office after taking an appointment.

Have handed an trade examination i.e Widespread Examination for House Brokers (CEHA) or Actual Property Agency (REA) examination, or equal; Exclusive brokers are extra keen to share listing information thus making certain the widest doable coverage inside the real estate community via Multiple Listings and Networking. Accepting a severe provide is simpler since your agent is totally conscious of all advertising activity related with your property. This reduces your having to check with a number of agents for some other offers. Price control is easily achieved. Paint work in good restore-discuss with your Property Marketing consultant if main works are still to be done. Softening in residential property prices proceed, led by 2.8 per cent decline within the index for Remainder of Central Region

Once you place down the one per cent choice price to carry down a non-public property, it's important to accept its situation as it is whenever you move in – faulty air-con, choked rest room and all. Get round this by asking your agent to incorporate a ultimate inspection clause within the possibility-to-buy letter. HDB flat patrons routinely take pleasure in this security net. "There's a ultimate inspection of the property two days before the completion of all HDB transactions. If the air-con is defective, you can request the seller to repair it," says Kelvin.

15.6.1 As the agent is an intermediary, generally, as soon as the principal and third party are introduced right into a contractual relationship, the agent drops out of the image, subject to any problems with remuneration or indemnification that he could have against the principal, and extra exceptionally, against the third occasion. Generally, agents are entitled to be indemnified for all liabilities reasonably incurred within the execution of the brokers´ authority.

To achieve the very best outcomes, you must be always updated on market situations, including past transaction information and reliable projections. You could review and examine comparable homes that are currently available in the market, especially these which have been sold or not bought up to now six months. You'll be able to see a pattern of such report by clicking here It's essential to defend yourself in opposition to unscrupulous patrons. They are often very skilled in using highly unethical and manipulative techniques to try and lure you into a lure. That you must also protect your self, your loved ones, and personal belongings as you'll be serving many strangers in your home. Sign a listing itemizing of all of the objects provided by the proprietor, together with their situation. HSR Prime Recruiter 2010

[9] Many property agents need to declare for the PIC grant in Singapore. However, not all of them know find out how to do the correct process for getting this PIC scheme from the IRAS. There are a number of steps that you need to do before your software can be approved.

Naturally, you will have to pay a safety deposit and that is usually one month rent for annually of the settlement. That is the place your good religion deposit will likely be taken into account and will kind part or all of your security deposit. Anticipate to have a proportionate amount deducted out of your deposit if something is discovered to be damaged if you move out. It's best to you'll want to test the inventory drawn up by the owner, which can detail all objects in the property and their condition. If you happen to fail to notice any harm not already mentioned within the inventory before transferring in, you danger having to pay for it yourself.

In case you are in search of an actual estate or Singapore property agent on-line, you simply should belief your intuition. It's because you do not know which agent is nice and which agent will not be. Carry out research on several brokers by looking out the internet. As soon as if you end up positive that a selected agent is dependable and reliable, you can choose to utilize his partnerise in finding you a home in Singapore. Most of the time, a property agent is taken into account to be good if he or she locations the contact data on his website. This may mean that the agent does not mind you calling them and asking them any questions relating to new properties in singapore in Singapore. After chatting with them you too can see them in their office after taking an appointment.

Have handed an trade examination i.e Widespread Examination for House Brokers (CEHA) or Actual Property Agency (REA) examination, or equal; Exclusive brokers are extra keen to share listing information thus making certain the widest doable coverage inside the real estate community via Multiple Listings and Networking. Accepting a severe provide is simpler since your agent is totally conscious of all advertising activity related with your property. This reduces your having to check with a number of agents for some other offers. Price control is easily achieved. Paint work in good restore-discuss with your Property Marketing consultant if main works are still to be done. Softening in residential property prices proceed, led by 2.8 per cent decline within the index for Remainder of Central Region

Once you place down the one per cent choice price to carry down a non-public property, it's important to accept its situation as it is whenever you move in – faulty air-con, choked rest room and all. Get round this by asking your agent to incorporate a ultimate inspection clause within the possibility-to-buy letter. HDB flat patrons routinely take pleasure in this security net. "There's a ultimate inspection of the property two days before the completion of all HDB transactions. If the air-con is defective, you can request the seller to repair it," says Kelvin.

15.6.1 As the agent is an intermediary, generally, as soon as the principal and third party are introduced right into a contractual relationship, the agent drops out of the image, subject to any problems with remuneration or indemnification that he could have against the principal, and extra exceptionally, against the third occasion. Generally, agents are entitled to be indemnified for all liabilities reasonably incurred within the execution of the brokers´ authority.

To achieve the very best outcomes, you must be always updated on market situations, including past transaction information and reliable projections. You could review and examine comparable homes that are currently available in the market, especially these which have been sold or not bought up to now six months. You'll be able to see a pattern of such report by clicking here It's essential to defend yourself in opposition to unscrupulous patrons. They are often very skilled in using highly unethical and manipulative techniques to try and lure you into a lure. That you must also protect your self, your loved ones, and personal belongings as you'll be serving many strangers in your home. Sign a listing itemizing of all of the objects provided by the proprietor, together with their situation. HSR Prime Recruiter 2010

[10] Many property agents need to declare for the PIC grant in Singapore. However, not all of them know find out how to do the correct process for getting this PIC scheme from the IRAS. There are a number of steps that you need to do before your software can be approved.

Naturally, you will have to pay a safety deposit and that is usually one month rent for annually of the settlement. That is the place your good religion deposit will likely be taken into account and will kind part or all of your security deposit. Anticipate to have a proportionate amount deducted out of your deposit if something is discovered to be damaged if you move out. It's best to you'll want to test the inventory drawn up by the owner, which can detail all objects in the property and their condition. If you happen to fail to notice any harm not already mentioned within the inventory before transferring in, you danger having to pay for it yourself.

In case you are in search of an actual estate or Singapore property agent on-line, you simply should belief your intuition. It's because you do not know which agent is nice and which agent will not be. Carry out research on several brokers by looking out the internet. As soon as if you end up positive that a selected agent is dependable and reliable, you can choose to utilize his partnerise in finding you a home in Singapore. Most of the time, a property agent is taken into account to be good if he or she locations the contact data on his website. This may mean that the agent does not mind you calling them and asking them any questions relating to new properties in singapore in Singapore. After chatting with them you too can see them in their office after taking an appointment.

Have handed an trade examination i.e Widespread Examination for House Brokers (CEHA) or Actual Property Agency (REA) examination, or equal; Exclusive brokers are extra keen to share listing information thus making certain the widest doable coverage inside the real estate community via Multiple Listings and Networking. Accepting a severe provide is simpler since your agent is totally conscious of all advertising activity related with your property. This reduces your having to check with a number of agents for some other offers. Price control is easily achieved. Paint work in good restore-discuss with your Property Marketing consultant if main works are still to be done. Softening in residential property prices proceed, led by 2.8 per cent decline within the index for Remainder of Central Region

Once you place down the one per cent choice price to carry down a non-public property, it's important to accept its situation as it is whenever you move in – faulty air-con, choked rest room and all. Get round this by asking your agent to incorporate a ultimate inspection clause within the possibility-to-buy letter. HDB flat patrons routinely take pleasure in this security net. "There's a ultimate inspection of the property two days before the completion of all HDB transactions. If the air-con is defective, you can request the seller to repair it," says Kelvin.

15.6.1 As the agent is an intermediary, generally, as soon as the principal and third party are introduced right into a contractual relationship, the agent drops out of the image, subject to any problems with remuneration or indemnification that he could have against the principal, and extra exceptionally, against the third occasion. Generally, agents are entitled to be indemnified for all liabilities reasonably incurred within the execution of the brokers´ authority.

To achieve the very best outcomes, you must be always updated on market situations, including past transaction information and reliable projections. You could review and examine comparable homes that are currently available in the market, especially these which have been sold or not bought up to now six months. You'll be able to see a pattern of such report by clicking here It's essential to defend yourself in opposition to unscrupulous patrons. They are often very skilled in using highly unethical and manipulative techniques to try and lure you into a lure. That you must also protect your self, your loved ones, and personal belongings as you'll be serving many strangers in your home. Sign a listing itemizing of all of the objects provided by the proprietor, together with their situation. HSR Prime Recruiter 2010.

[Cohen2003-11] Many property agents need to declare for the PIC grant in Singapore. However, not all of them know find out how to do the correct process for getting this PIC scheme from the IRAS. There are a number of steps that you need to do before your software can be approved.

Naturally, you will have to pay a safety deposit and that is usually one month rent for annually of the settlement. That is the place your good religion deposit will likely be taken into account and will kind part or all of your security deposit. Anticipate to have a proportionate amount deducted out of your deposit if something is discovered to be damaged if you move out. It's best to you'll want to test the inventory drawn up by the owner, which can detail all objects in the property and their condition. If you happen to fail to notice any harm not already mentioned within the inventory before transferring in, you danger having to pay for it yourself.

In case you are in search of an actual estate or Singapore property agent on-line, you simply should belief your intuition. It's because you do not know which agent is nice and which agent will not be. Carry out research on several brokers by looking out the internet. As soon as if you end up positive that a selected agent is dependable and reliable, you can choose to utilize his partnerise in finding you a home in Singapore. Most of the time, a property agent is taken into account to be good if he or she locations the contact data on his website. This may mean that the agent does not mind you calling them and asking them any questions relating to new properties in singapore in Singapore. After chatting with them you too can see them in their office after taking an appointment.

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To achieve the very best outcomes, you must be always updated on market situations, including past transaction information and reliable projections. You could review and examine comparable homes that are currently available in the market, especially these which have been sold or not bought up to now six months. You'll be able to see a pattern of such report by clicking here It's essential to defend yourself in opposition to unscrupulous patrons. They are often very skilled in using highly unethical and manipulative techniques to try and lure you into a lure. That you must also protect your self, your loved ones, and personal belongings as you'll be serving many strangers in your home. Sign a listing itemizing of all of the objects provided by the proprietor, together with their situation. HSR Prime Recruiter 2010.

[12] Many property agents need to declare for the PIC grant in Singapore. However, not all of them know find out how to do the correct process for getting this PIC scheme from the IRAS. There are a number of steps that you need to do before your software can be approved.

Naturally, you will have to pay a safety deposit and that is usually one month rent for annually of the settlement. That is the place your good religion deposit will likely be taken into account and will kind part or all of your security deposit. Anticipate to have a proportionate amount deducted out of your deposit if something is discovered to be damaged if you move out. It's best to you'll want to test the inventory drawn up by the owner, which can detail all objects in the property and their condition. If you happen to fail to notice any harm not already mentioned within the inventory before transferring in, you danger having to pay for it yourself.

In case you are in search of an actual estate or Singapore property agent on-line, you simply should belief your intuition. It's because you do not know which agent is nice and which agent will not be. Carry out research on several brokers by looking out the internet. As soon as if you end up positive that a selected agent is dependable and reliable, you can choose to utilize his partnerise in finding you a home in Singapore. Most of the time, a property agent is taken into account to be good if he or she locations the contact data on his website. This may mean that the agent does not mind you calling them and asking them any questions relating to new properties in singapore in Singapore. After chatting with them you too can see them in their office after taking an appointment.

Have handed an trade examination i.e Widespread Examination for House Brokers (CEHA) or Actual Property Agency (REA) examination, or equal; Exclusive brokers are extra keen to share listing information thus making certain the widest doable coverage inside the real estate community via Multiple Listings and Networking. Accepting a severe provide is simpler since your agent is totally conscious of all advertising activity related with your property. This reduces your having to check with a number of agents for some other offers. Price control is easily achieved. Paint work in good restore-discuss with your Property Marketing consultant if main works are still to be done. Softening in residential property prices proceed, led by 2.8 per cent decline within the index for Remainder of Central Region

Once you place down the one per cent choice price to carry down a non-public property, it's important to accept its situation as it is whenever you move in – faulty air-con, choked rest room and all. Get round this by asking your agent to incorporate a ultimate inspection clause within the possibility-to-buy letter. HDB flat patrons routinely take pleasure in this security net. "There's a ultimate inspection of the property two days before the completion of all HDB transactions. If the air-con is defective, you can request the seller to repair it," says Kelvin.

15.6.1 As the agent is an intermediary, generally, as soon as the principal and third party are introduced right into a contractual relationship, the agent drops out of the image, subject to any problems with remuneration or indemnification that he could have against the principal, and extra exceptionally, against the third occasion. Generally, agents are entitled to be indemnified for all liabilities reasonably incurred within the execution of the brokers´ authority.

To achieve the very best outcomes, you must be always updated on market situations, including past transaction information and reliable projections. You could review and examine comparable homes that are currently available in the market, especially these which have been sold or not bought up to now six months. You'll be able to see a pattern of such report by clicking here It's essential to defend yourself in opposition to unscrupulous patrons. They are often very skilled in using highly unethical and manipulative techniques to try and lure you into a lure. That you must also protect your self, your loved ones, and personal belongings as you'll be serving many strangers in your home. Sign a listing itemizing of all of the objects provided by the proprietor, together with their situation. HSR Prime Recruiter 2010

[13] M. Aunola and J. J. Toppari, Phys. Rev. B 68, 020502 (2003).

[14] M. Buttiker, H. Thomas and A Pretre, Z. Phys. B Condens. Mat. 94, 133 (1994).

[15] D. Cohen, Phys. Rev. B 68, 201303(R) (2003).

[16] M. Hiller, T. Kottos and D. Cohen, Europhysics Letters 82, 40006 (2008); Phys. Rev. A 78, 013602 (2008).

[interactions_I1-I15-17] I. L Aleiner and A. V andreev Phys. Rev. Lett. 81 (1998) 1286
C. Liu and Q. Niu Phys. Rev. B 48 (1993) 18320
M. Blaaboer and E. J. Heller Phys. Rev. B 64 (2001) 241301
B. Wang and J. Wang Phys. Rev. B 65 (2002) 233315
J. Splettstosser, M. Governale, J. Konig and R. Fazio cond-mat/0506080
T. Aono Phys. Rev. Lett. 93 (2004) 116601
Q. Niu and D. J. Thouless J. Phys. A 17 (1984) 2453
P. Sharma and C. Chamon Phys. Rev. Lett. 87 (2001) 96401
A. V. Andreev and E. G. Mishchenko Phys. Rev. B 64 (2001) 233316
P. Sharma and C. Chamon Phys. Rev. B 68 (2002) 35321
R. Citro, N. Andrei and Q. Niu Phys. Rev. B 68 (2003) 165312
D. S. Golubev and A. Zaikin, cond-mat/0010493
E. Sela and Y. Oreg cond-mat/0509467
E. Cota, R. aguado and G. Platero Phys. Rev. Lett. 94 (2005) 107202.
F. Cavaliere, M. Governale, and J. König Phys. Rev. Lett. 103 (2009) 136801

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-== Then Buy Roshe Run Metric ==
+{{multiple issues|
+{{Expert-subject|Physics|date=November 2008}}
+{{Lead rewrite|date=September 2009}}
+}}
-Then, in my newsletters, I encourage people to go to the site to read further. In other words, everything not there within the email, they have to go to the site to get some of the content.. The line then followed the west coast of the island, calling in a small halt west of North Hayling, and finally coming inland a little to achieve its final destination at Hayling Island station2, which unsurprisingly [http://www.fea.org.au/includes/bullet.asp?p=39-Buy-Roshe-Run-Metric Buy Roshe Run Metric] lies just [http://www.sandpipermotel.com.au/sandpiper/head.asp?p=55-Mbt-Shoes-Store-Locator Mbt Shoes Store Locator] north from the junction between Station Road and Staunton Avenue. Hayling Island station has since been converted into a theatre, while the entire track bed between the theatre and the south shore of Langstone harbour now forms the Hayling Billy cycle route.. <br><br>There was construction going on at the top floor of the hotel. Each day a security guard was posted at the 10th floor door to the construction area for the guests safety. You begin the week with a leg day followed by a chest and [http://www.flowervalewarmbloods.com.au/FCKeditor/editor/css/behaviors/sendmail.asp?page=85-Beats-Pro Beats Pro] back day. After a day of rest you will hit another leg day (utilizing different exercises) and cap the week off with an arms and shoulders day (so you can get your preweekend pump going!). <br><br>In Brummie, the lowering suggests despondency and causes it to be less attractive to the listener. In the two cases, the lack of variation quickly starts to grate.. Evolutionary theory may be used to predict the appearance and lack of enzyme traits due to selective pressures in microbial ecosystems. All of these theories then determine the abundance of particular functional groups, or the means and variances of trait distributions that directly affect ecological function. <br><br>My husband got the mystic pita that had the addition of hummus and tabouleh, which he really liked too. Their hummus is surprisingly good. They'll help you order the right amount of the proper items. We are always happy to recommend better.. These graduate certificates are made to specifically complement or augment a diploma you've already earned. For instance, a student who has a bachelor degree in counseling may decide to complete a graduate certificate in substance abuse to hone their specialization or prepare for an upcoming licensing examination. <br><br>The perception that digital culture is incompatible with the love of objectasart, or artasobject, is weird. They're creatures of the digital age  and direct reactions to changing business models. It will be an interesting battle. KKR is playing as the spoilers! Win or loss they are already eliminated. <br><br>If those corporations provide you with diet supplements free, rest assured that there is a catch. What these corporations will do is that they can [http://www.flowervalewarmbloods.com.au/FCKeditor/editor/css/behaviors/sendmail.asp?page=79-Beats-Wireless-Australia Beats Wireless Australia] in reality place you on an automatic rebilling scheme, therefore the subsequent month your charge card can be automatically billed for the full cost of a pill  whether or not you desire it or not!.<ul>
+[[Image:PmpModelOpen.png|right|300px]]
-   <li>[http://www.7nls.cn/news/html/?42715.html http://www.7nls.cn/news/html/?42715.html]</li>
+A '''pump''' is an [[alternating current]]-driven device that generates a [[direct current]] (DC). In the simplest configuration a pump has two leads connected to two reservoirs. In such open geometry the pump takes particles from one reservoir and emits them into the other. Accordingly a current is produced even if the reservoirs have the same temperature and chemical potential.
-   <li>[http://socialsceneevents.com/index.php?/member/1012413/ http://socialsceneevents.com/index.php?/member/1012413/]</li>
+[[Image:PmpModelClosed.png|right|300px]]
-   <li>[http://adad123.er-webs.com/mo/home.php?mod=space&uid=2137&do=blog&quickforward=1&id=98546 http://adad123.er-webs.com/mo/home.php?mod=space&uid=2137&do=blog&quickforward=1&id=98546]</li>
+'''Stirring''' is the operation of inducing a circulating current with a non-vanishing DC component in a closed system. The simplest geometry is obtained by integrating a pump in a closed circuit. More generally one can consider any type of stirring mechanism such as moving a spoon in a cup of coffee.
-   <li>[http://www.jyj578.com/news/html/?232493.html http://www.jyj578.com/news/html/?232493.html]</li>
+==Main observations==
+{{quantum}}
- </ul>
+Pumping and stirring effects in quantum physics have counterparts in purely classical stochastic and dissipative processes.<ref name='sinitsyn-09jpa'>{{Citation|title=Stochastic pump effect and geometric phases in dissipative and stochastic systems|author=N. A. Sinitsyn |journal=J. Phys. A: Math, Theor.|volume=42|issue=19|year=2009|pages=193001|arxiv=0903.4231|doi=10.1088/1751-8113/42/19/193001|bibcode = 2009JPhA...42s3001S }}</ref><!-- N.A. Sinitsyn 2009  J. Phys. A: Math, Theor. ''42'' 193001 --> The studies of quantum pumping<ref name="Qpump P1-P6">M. Buttiker, H. Thomas and A Pretre, Z. Phys. B Condens. Mat. 94, 133 (1994). <br>P. W. Brouwer, Phys. Rev. B 58, R10135 (1998).<br>B. L. Altshuler, L. I. Glazman, Science 283, 1864 (1999).<br>J. A. Avron, A. Elgart, G. M. Graf and L. sadun, Phys. Rev. B 62, R10618 (2000).<br>D. Cohen, Phys. Rev. B 68, 201303(R) (2003).<br>M. Moskalets and M. Büttiker, Phys. Rev. B 68, 161311 (2003).<br></ref><ref name="Experiments E1">M. Switkes, C. M. Marcus, K. Campman, A. C. Gossard, Science 283, 1905 (1999).</ref> and of quantum stirring<ref name="Stirring S1-S7">D. Cohen, arXiv:cond-mat/0208233 (2002). <br>D. Cohen, Phys. Rev. B 68, 155303 (2003).<br>M. Aunola and J. J. Toppari, Phys. Rev. B 68, 020502 (2003).<br>D. Cohen, T. Kottos and H. Schanz, Phys. Rev. E 71, 035202(R) (2005).<br>G. Rosenberg and D. Cohen, J. Phys. A 39, 2287 (2006).<br>I. Sela and D. Cohen, J. Phys. A 39, 3575 (2006).<br>M. Hiller, T. Kottos and D. Cohen, Europhysics Letters 82, 40006 (2008); Phys. Rev. A 78, 013602 (2008).<br> I. Sela and D. Cohen, Phys. Rev. B 77, 245440 (2008); Phys. Rev. B 78, 155404 (2008).<br></ref> emphasize the role of quantum interference in the analysis of the induced current. A major objective is to calculate the amount <math>Q</math> of transported particles per a driving cycle. There are circumstances in which <math>Q</math> is an integer number due to the topology of parameter space.<ref name="Adiabatic T1–T5"/> More generally <math>Q</math> is affected by [[#The_effect_of_Interactions|inter-particle interactions]], disorder, chaos, noise and dissipation.
+Electric stirring explicitly breaks time-reversal symmetry. This property can be used to induce spin polarization in conventional semiconductors by purely electric means.<ref name="Pershin2009">{{citation|last1=Pershin|first1=Yu. V|last2=Sinitsyn|first2=N. A.|last3=Kogan|first3=A|last4=Saxena|first4=A|last5=Smith|first5=D|title= Spin polarization control by electric stirring: proposal for a spintronic device|journal=Appl. Phys. Lett.|volume=95|issue=2|year=2009|pages=022114|arxiv = 0906.0039|doi=10.1063/1.3180494}}.</ref> Strictly speaking stirring is a non-linear effect, because in linear response theory (LRT) an AC driving induces an AC current with the same frequency. Still an adaptation of the LRT [[#The_Kubo_approach_to_quantum_stirring|Kubo formalism]] allows the analysis of stirring. The quantum pumping problem (where we have an open geometry) can be regarded as a special limit of the quantum stirring problem (where we have a closed geometry). Optionally the latter can be analyzed within the framework of [[#The scattering approach to quantum pumping|scattering theory]].  Pumping and Stirring devices are close relatives of ratchet systems.<ref name="Ratchet R1-R5">P. Reimann Phys. Rep. 361 (2002) 57 <br>H. Schanz, M. F. Otto, R. Ketzmerick and T. Dittrich Phys. Rev. Lett. 87 (2001) 070601<br>H. Schanz, T. Dittrich and R. Ketzmerick Phys. Rev. E 71 (2005) 026228<br>T. Dittrich, M. Gutiérrez and G. Sinuco Physica A 327 (2003) 145<br>H. Linke et al., Appl. Phys. A 75 (2002) 237-246.<br></ref> The latter are defined in this context as AC driven spatially periodic arrays, where DC current is induced.
+It is possible to induce a DC current by applying a bias, or if the particles are charged then by applying an electro-motive-force. In contrast to that a quantum pumping mechanism produces a DC current in response to a cyclic deformation of the confining potential. In order to have a DC current from an AC driving, time reversal symmetry (TRS) should be broken. In the absence of magnetic field and dissipation it is the driving itself that can break TRS. Accordingly, an adiabatic pump operation is based on varying more than one parameter, while for non-adiabatic pumps <ref>{{citation|last1=Wang|first1=B.|last2=Wang|first2=J.|last3=Guo|first3=H.|title=Parametric pumping at finite frequency|journal=Phys. Rev. B.|volume=65|issue=7|year=2002|pages=073306|doi=10.1103/PhysRevB.65.073306|arxiv = cond-mat/0107078 |bibcode = 2002PhRvB..65g3306W }}</ref>
+<ref>{{citation|last1=Foa Torres|first1=L.E.F.|title=Mono-parametric quantum charge pumping: Interplay between spatial interference and photon-assisted tunneling|journal=Phys. Rev. B.|volume=72|year=2005|issue=24|pages=245339|doi=10.1103/PhysRevB.72.245339|arxiv = cond-mat/0511223 |bibcode = 2005PhRvB..72x5339F }}</ref><ref>{{citation|last1=Kaestner|first1=B.|last2=Kashcheyevs|first2=V.|last3=Amakawa|first3=S.|last4=Li|first4=L.|last5=Blumenthal|first5=M.D.|last6=Janssen|first6=T.J.B.M.|last7=Hein|first7=G.|last8=Pierz|first8=K.|last9=Weimann|first9=T.|displayauthors=8|title=Single-parameter non-adiabatic quantized charge pumping|journal=Phys. Rev. B.|volume=77|issue=15|year=2008|pages=153301|doi=10.1103/PhysRevB.77.153301|bibcode = 2008PhRvB..77o3301K |arxiv = 0707.0993 }}.</ref> modulation of a single parameter may suffice for DC current generation. The best known example is the peristaltic mechanism that combines a cyclic squeezing operation with on/off switching of entrance/exit valves.
+==The Kubo approach to quantum stirring==
+[[Image:DiracChains.png|180px|right]]
+Consider a closed system which is described by a Hamiltonian <math>\mathcal{H}(X)</math> that depends on some control parameters <math>X=(X_1,X_2,X_3)</math>. If <math>X_3</math> is an Aharonov Bohm magnetic flux through the ring, then by Faraday law <math>-\dot{X_3}</math> is the electro motive force. If linear response theory applies we have the proportionality <math>I=-G^{33}\dot{X}_3</math>, where <math>G^{33}</math> is the called the Ohmic conductance. In complete analogy if we change <math>X_1</math> the current is <math>I=-G^{31}\dot{X}_1</math>, and if we change <math>X_2</math> the current is <math>I=-G^{32}\dot{X}_2</math>, where <math>G^{31}</math> and <math>G^{32}</math> are elements of a conductance matrix. Accordingly for a full pumping cycle:
+: <math>Q = \oint\limits_{\text{cycle}} I \, dt = -\oint (G^{31} \, dX_1 + G^{32} \, dX_2)</math>
+The conductance can be calculated and analyzed using the Kubo formula approach to quantum pumping,<ref name="Cohen2003">{{citation|last1=Cohen|first1=D.|title=Quantum pumping in closed systems, adiabatic transport, and the Kubo formula|journal=Phys. Rev. B|volume=68|year=2003|issue=15|pages=155303|doi=10.1103/PhysRevB.68.155303|arxiv = cond-mat/0307619 |bibcode = 2003PhRvB..68o5303C }}.</ref> which is based on the theory of adiabatic processes.<ref name="Adiabatic T1–T5">D. J. Thouless, Phys. Rev. B 27, 6083 (1983). <br>Q. Niu and D. J. Thouless, J. Phys. A 17, 2453 (1984).<br>M.V. Berry, Proc. R. Soc. Lond. A 392, 45 (1984).<br>J.E. Avron, A. Raveh and B. Zur, Rev. Mod. Phys. 60, 873 (1988).<br>M.V. Berry and J.M. Robbins, Proc. R. Soc. Lond. A 442, 659 (1993).<br></ref> Here we write the expression that applies in the case of low frequency "quasi static" driving process (the popular terms "DC driving" and "adiabatic driving" turn out to be misleading so we do not use them):
+: <math>G^{3j}= \frac{i}{\hbar}\int_0^\infty \left\langle\left[\mathcal{I}(t),\mathcal{F}^j(0)\right]\right\rangle \, t \, dt</math>
+where <math>\mathcal{I}</math> is the current operator, and <math>\mathcal{F}^j=-\partial \mathcal{H}/\partial X_j</math> is the generalized force that is associated with the control parameter <math>X_j</math>. Though this formula is written using quantum mechanical notations it holds also classically if the commutator is replaced by Poisson brackets. In general <math>G</math> can be written as a sum of two terms: one has to do with dissipation, while the other, denoted as <math>B</math> has to do with geometry. The dissipative part vanishes in the strict quantum adiabatic limit, while the geometrical part <math>B</math> might be non-zero. It turns out that in the strict adiabatic limit <math>B</math> is the "[[Berry curvature]]" (mathematically known as ``two-form"). Using the notations <math> B_1=-G^{32}</math> and <math>B_2=G^{31}</math> we can rewrite the formula for the amount of pumped particles as
+: <math> Q = \oint \vec{B} \cdot \vec{ds} </math>
+[[Image:pmp cyc a4.png|180px|right]]
+where we define the normal vector <math>\vec{ds}=(dX_2,-dX_1)</math> as illustrated. The advantage of this point of view is in the intuition that it gives for the result: <math>Q</math> is related to the flux of a field <math>\vec{B}</math> which is created (so to say) by "magnetic charges" in <math>X</math> space. In practice the calculation of <math>\vec{B}</math> is done using the following formula:
+: <math>{B}_j= \sum_{n (\ne n_0)} \frac{2\hbar \ {\rm Im}[\mathcal{I}_{n_0n} \ \mathcal{F}^j_{nn_0}]}{(E_n-E_{n_0})^2} </math>
+This formula can be regarded as the quantum adiabatic limit of the Kubo formula. The eigenstates of the system are labeled by the index <math>n</math>. These are in general many body states, and the energies are in general many body energies. At finite temperatures a thermal average over <math>n_0</math> is implicit. The field <math>B</math> can be regarded as the rotor of "vector potential" <math>A</math> (mathematically known as the "one-form"). Namely, <math> \vec{B}=\nabla\wedge\vec{A} </math>. The ``[[Berry phase]]" which is acquired by a wavefunction at the end of a closed cycle is
+[[Image:pmp cyc a3.png|180px|right]]
+: <math>\text{Berry phase} = \frac{1}{\hbar} \oint \vec{A} \cdot d\vec{X}</math>
+Accordingly one can argue that the "magnetic charge" that generates (so to say) the <math>B</math> field consists of quantized "Dirac monopoles". It follows from gauge invariance that the degeneracies of the system are arranged as vertical Dirac chains. The "Dirac monopoles" are situated at <math>X</math> points where <math>n_0</math> has a degeneracy with another level. The Dirac monopoles picture<ref>{{Citation|author1=Doron Cohen|title=Classical and quantum pumping in closed systems|year=2005|pages=583|issue=9|volume=588|journal=Solid State Communications 133, 583-|arxiv=cond-mat/0208233|doi=10.1016/j.ssc.2004.12.027|bibcode=2005SSCom.133..583C|postscript=.}}</ref> is useful for charge transport analysis: the amount of transported charge is determined by the number of the Dirac chains encircled by the pumping cycle. Optionally it is possible to evaluate the transported charge per pumping cycle from the Berry phase by differentiating it with respect to the Aharonov–Bohm flux through the device.<ref>M. Aunola and J. J. Toppari, Phys. Rev. B 68, 020502 (2003).</ref>
+==The scattering approach to quantum pumping==
+The Ohmic conductance of a mesoscopic device that is connected by leads to reservoirs is given by the Landauer formula: in dimensionless units the Ohmic conductance of an open channel equals its transmission. The extension of this scattering point of view in the context of quantum pumping leads to the Brouwer-Buttiker-Pretre-Thomas (BPT) formula<ref name="Qpump P1-P6"/> which relates the geometric conductance to the <math>S</math> matrix of the pump:
+: <math>G^{3j}=\frac{1}{2\pi i}\mathrm{trace} \left(P_A\frac{\partial S}{\partial X_j} S^\dagger \right)</math>
+Here <math>P_A</math> is a projector that restrict the trace operations to the open channels of the lead where the current is measured. This BPT formula has been originally derived using a scattering approach,<ref>M. Buttiker, H. Thomas and A Pretre, Z. Phys. B Condens. Mat. 94, 133 (1994).</ref> but later its relation to the Kubo formula has been worked out.<ref>D. Cohen, Phys. Rev. B 68, 201303(R) (2003).</ref>
+==The effect of Interactions==
+A very recent work considers the role of interactions in the stirring of Bose condensed particles.<ref>M. Hiller, T. Kottos and D. Cohen, Europhysics Letters 82, 40006 (2008); Phys. Rev. A 78, 013602 (2008).</ref> Otherwise the rest of the literature concerns primarily electronic devices.<ref name="interactions I1-I15">I. L Aleiner and A. V andreev Phys. Rev. Lett. 81 (1998) 1286 <br>C. Liu and Q. Niu Phys. Rev. B 48 (1993) 18320 <br>M. Blaaboer and E. J. Heller Phys. Rev. B 64 (2001) 241301<br>B. Wang and J. Wang Phys. Rev. B 65 (2002) 233315<br>J. Splettstosser, M. Governale, J. Konig and R. Fazio cond-mat/0506080<br>T. Aono Phys. Rev. Lett. 93 (2004) 116601<br>Q. Niu and D. J. Thouless J. Phys. A 17 (1984) 2453<br>P. Sharma and C. Chamon Phys. Rev. Lett. 87 (2001) 96401<br>A. V. Andreev and E. G. Mishchenko Phys. Rev. B 64 (2001) 233316<br>P. Sharma and C. Chamon Phys. Rev. B 68 (2002) 35321<br>R. Citro, N. Andrei and Q. Niu Phys. Rev. B 68 (2003) 165312<br>D. S. Golubev and A. Zaikin, cond-mat/0010493<br>E. Sela and Y. Oreg cond-mat/0509467<br>E. Cota, R. aguado and G. Platero Phys. Rev. Lett. 94 (2005) 107202. <br>F. Cavaliere, M. Governale, and J. König Phys. Rev. Lett. 103 (2009) 136801<br></ref> Typically the pump is modeled as a quantum dot. The effect of electron-electron interactions within the dot region is taken into account in the Coulomb blockade regime or in the Kondo regime. In the former case charge transport is quantized even in the case of small back scattering. Deviation from the exact quantized value is related to dissipation. In the Kondo regime, as the temperature is lowered, the pumping effect is modified. There are also works that consider interactions over the whole system (including the leads) using the Luttinger liquid model.
+==See also==
+*[[Quantum mechanics]]
+*[[Brownian ratchet]]
+*[[Geometric phase]] (section Stochastic pump effect)
+==References==
+{{reflist}}
+===Unsorted===
+<div style="font-size:10px">
+* B. L. Hazelzet, M. R. Wegewijs, T. H. Stoof, and Yu. V. Nazarov, Phys. Rev. B 63 (2001) 165313
+* O. Entin-Wohlman, A. Aharony and V. Kashcheyevs, Turk. J. Phys. 27 (2003) 371
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+</div>
+{{DEFAULTSORT:Quantum Stirring, Ratchets, And Pumping}}
+[[Category:Quantum mechanics]]

Lumer–Phillips theorem: Difference between revisions

en>CmdrObot

Revision as of 23:26, 22 June 2013

Contents

Main observations

The Kubo approach to quantum stirring

The scattering approach to quantum pumping

The effect of Interactions

See also

References

Unsorted

Navigation menu

Lumer–Phillips theorem: Difference between revisions

en>CmdrObot

Revision as of 23:26, 22 June 2013

Main observations

The Kubo approach to quantum stirring

The scattering approach to quantum pumping

The effect of Interactions

See also

References

Unsorted

Navigation menu

Search