Extensional tectonics: Difference between revisions

From formulasearchengine
Jump to navigation Jump to search
← Older edit

en>ClueBot NG

en>Yoninah
m →Low beta factor: add link
en>ClueBot NG
m Reverting possible vandalism by 194.79.130.180 to version by JaconaFrere. False positive? Report it. Thanks, ClueBot NG. (2023263) (Bot)
 
Line 1: Line 1:
{{Unreferenced|date=December 2009}}
The author's title is Andera and she thinks it seems quite great. What me and my  [http://www.publicpledge.com/blogs/post/7034 authentic psychic readings] family members adore is doing ballet but I've been using on new issues lately. Some time ago she chose to live in Alaska and her parents live nearby. Distributing manufacturing is where her primary earnings arrives from.<br><br>Look at my web blog ... accurate [http://si.dgmensa.org/xe/index.php?document_srl=48014&mid=c0102 love psychic] predictions ([http://cspl.postech.ac.kr/zboard/Membersonly/144571 http://cspl.postech.ac.kr])
The '''Langer correction''' is a correction when [[WKB approximation]] method is applied to three-dimensional problems with spherical symmetry.
 
When applying WKB approximation method to the radial [[Schrödinger equation]]
:<math> -\frac{\hbar^2}{2 m} \frac{d^2 R(r)}{dr^2} + [E-V_\textrm{eff}(r)] R(r) = 0 </math>
where the effective potential is given by
:<math>V_\textrm{eff}(r)=V(r)-\frac{\ell(\ell+1)\hbar^2}{2mr^2}</math>
the eigenenergies and the wave function behaviour obtained are different from real solution.
 
In 1937, [[Rudolf Ernest Langer|Rudolph E. Langer]] suggested a correction
 
:<math>\ell(\ell+1) \rightarrow \left(\ell+\frac{1}{2}\right)^2</math>
which is known as Langer correction. This is equivalent to inserting a 1/4 constant factor whenever ℓ(ℓ&nbsp;+&nbsp;1) appears. Heuristically, it is said that this factor arises because the range of the radial Schrödinger equation is restricted from 0 to infinity, as opposed to the entire real line.
 
By such a changing of constant term in the effective potential, the results obtained by [[WKB approximation]] reproduces the exact spectrum for many potentials.
 
==References==
* [http://prola.aps.org/abstract/PR/v51/i8/p669_1 The original publication.]
 
{{DEFAULTSORT:Langer Correction}}
[[Category:Theoretical physics]]

Latest revision as of 12:00, 10 November 2014

The author's title is Andera and she thinks it seems quite great. What me and my authentic psychic readings family members adore is doing ballet but I've been using on new issues lately. Some time ago she chose to live in Alaska and her parents live nearby. Distributing manufacturing is where her primary earnings arrives from.

Look at my web blog ... accurate love psychic predictions (http://cspl.postech.ac.kr)

Retrieved from "https://en.formulasearchengine.com/w/index.php?title=Extensional_tectonics&oldid=250451"