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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 Inverse square root potential ： ウィキペディア英語版 Inverse square root potential The inverse square root potential is a three-parametric quantum-mechanical potential for which the one-dimensional Schrödinger equation is exactly solvable in terms of the confluent hypergeometric functions.〔("Exact solution of the Schrödinger equation for the potential V0/√x" )〕〔("Discretization of Natanzon potentials" )〕 The potential is defined as: :$V(x)\; =\; V\_c+\backslash frac\{\backslash sqrt\{x-x\_0\}\}$. ==Comments== Omitting the non-essential constants $V\_c\; ,\; x\_0$ the general solution of the Schrödinger equation :$\backslash frac+\backslash frac(E-V(x))\backslash psi=0$ for the potential $V(x)\; =\; V\_0/$ for arbitrary $V\_0$ is written as :$\backslash psi(x)=\; e^\backslash frac$, where :$u=e^\backslash left(c\_1\; \backslash cdot\; H\_a(y)+c\_2\; \backslash cdot\; ;\backslash frac;y^2)\backslash right)$. Here $c\_$ are arbitrary constants, $H\_a$ is the Hermite function (for a non-negative integer $a$ it becomes the Hermite polynomial; however, in general $a$ is arbitrary). $$, and the involved parameters $\backslash delta$ and $a$ are given as :$\backslash delta=\backslash sqrt$, :$a=\backslash frac\{\backslash hbar\; (-2\; m\; E)^\{3/2\}\}$. 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「Inverse square root potential」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.