翻訳と辞書 Words near each other ・ Particle Dark Matter ・ Particle Data Group ・ Particle decay ・ Particle density ・ Particle deposition ・ Particle detector ・ Particle displacement ・ Particle experiments at Kolar Gold Fields ・ Particle Fever ・ Particle filter ・ Particle horizon ・ Particle identification ・ Particle image velocimetry ・ Particle in a box ・ Particle in a one-dimensional lattice ・ Particle in a ring ・ Particle in a spherically symmetric potential ・ Particle Man ・ Particle mass analyser ・ Particle Mesh ・ Particle number ・ Particle number operator ・ Particle physics ・ Particle Physics and Astronomy Research Council ・ Particle physics and representation theory ・ Particle physics experiments ・ Particle physics in cosmology ・ Particle Physics Project Prioritization Panel ・ Particle radiation ・ Particle segregation Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Particle in a ring ： ウィキペディア英語版 Particle in a ring In quantum mechanics, the case of a particle in a one-dimensional ring is similar to the particle in a box. The Schrödinger equation for a free particle which is restricted to a ring (technically, whose configuration space is the circle $S^1$) is :$-\backslash frac\backslash nabla^2\; \backslash psi\; =\; E\backslash psi$ == Wave function == Using polar coordinates on the 1-dimensional ring of radius R, the wave function depends only on the angular coordinate, and so :$\backslash nabla^2\; =\; \backslash frac\; \backslash frac$ Requiring that the wave function be periodic in $\backslash \; \backslash theta$ with a period $2\; \backslash pi$ (from the demand that the wave functions be single-valued functions on the circle), and that they be normalized leads to the conditions :$\backslash int\_^\; \backslash left|\; \backslash psi\; (\; \backslash theta\; )\; \backslash right|^2\; \backslash ,\; R\; d\backslash theta\; =\; 1\backslash$, and :$\backslash \; \backslash psi\; (\backslash theta)\; =\; \backslash \; \backslash psi\; (\; \backslash theta\; +\; 2\backslash pi)$ Under these conditions, the solution to the Schrödinger equation is given by :$\backslash psi\_(\backslash theta)\; =\; \backslash frac\; \backslash sqrt\; \backslash theta\; \}$ 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「Particle in a ring」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.