Extensional tectonics - Revision history

en>ClueBot NG: Reverting possible vandalism by 194.79.130.180 to version by JaconaFrere. False positive? Report it. Thanks, ClueBot NG. (2023263) (Bot)

2014-11-10T10:00:34Z

Reverting possible vandalism by 194.79.130.180 to version by JaconaFrere. False positive? Report it. Thanks, ClueBot NG. (2023263) (Bot)

← Older revision		Revision as of 12:00, 10 November 2014
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	~~{{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 + 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]]~~

en>Yoninah: /* Low beta factor */ add link

2013-12-12T00:47:51Z

Low beta factor: add link

← Older revision		Revision as of 02:47, 12 December 2013
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	~~Jayson Berryhill is how I~~'~~m called and my wife doesn~~'~~t like it at all~~. ~~Her family members life in Ohio but her spouse wants them~~ to ~~move. The preferred hobby for him and his children~~ is ~~to perform lacross~~ and ~~he would never give it up~~. ~~Credit authorising is how he tends to make cash~~.<br><br>~~Feel free~~ to ~~visit my web page~~; ~~love psychic (~~[http://~~srncomm~~.~~com~~/~~blog~~/~~2014~~/08/25/~~relieve-that-stress-find-a-new-hobby/ visit the next internet site~~])		{{Unreferenced\|date=December 2009}}
			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 + 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]]

en>ClueBot NG: Reverting possible vandalism by 66.227.244.80 to version by Khazar. False positive? Report it. Thanks, ClueBot NG. (1021750) (Bot)

2012-04-19T03:39:04Z

Reverting possible vandalism by 66.227.244.80 to version by Khazar. False positive? Report it. Thanks, ClueBot NG. (1021750) (Bot)

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