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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Langer correction ： ウィキペディア英語版 Langer correction 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 :$-\backslash frac\; \backslash frac\; +\; ()\; R(r)\; =\; 0$ where the effective potential is given by :$V\_\backslash textrm(r)=V(r)-\backslash frac$ the eigenenergies and the wave function behaviour obtained are different from real solution. In 1937, Rudolph E. Langer suggested a correction :$\backslash ell(\backslash ell+1)\; \backslash rightarrow\; \backslash left(\backslash ell+\backslash frac\backslash right)^2$ 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== * (The original publication. ) 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Langer correction」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.