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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 Table of Clebsch–Gordan coefficients ： ウィキペディア英語版 Table of Clebsch–Gordan coefficients This is a table of Clebsch–Gordan coefficients used for adding angular momentum values in quantum mechanics. The overall sign of the coefficients for each set of constant $j\_1$, $j\_2$, $j$ is arbitrary to some degree and has been fixed according to the Condon-Shortley and Wigner sign convention as discussed by Baird and Biedenharn. Tables with the same sign convention may be found in the Particle Data Group's ''Review of Particle Properties'' and in online tables. ==Formulation== The Clebsch–Gordan coefficients are the solutions to :$$ |(j_1j_2)jm\rangle = \sum_^ \sum_^ |j_1m_1j_2m_2\rangle \langle j_1j_2;m_1m_2|j_1j_2;jm\rangle Explicitly: :$$ \begin \langle j_1j_2;m_1m_2|j_1j_2;jm\rangle = \ &\delta_ \sqrt}\ \times \\ &\sqrt\ \times \\ &\sum_k \frac. \end The summation is extended over all integer for which the argument of every factorial is nonnegative.〔(2.41), p. 172, ''Quantum Mechanics: Foundations and Applications'', Arno Bohm, M. Loewe, New York: Springer-Verlag, 3rd ed., 1993, ISBN 0-387-95330-2.〕 For brevity, solutions with and are omitted. They may be calculated using the simple relations :$\backslash langle\; j\_1j\_2;m\_1m\_2|j\_1j\_2;jm\backslash rangle=(-1)^\backslash langle\; j\_1j\_2;-m\_1,-m\_2|j\_1j\_2;j,-m\backslash rangle$ . and :$\backslash langle\; j\_1j\_2;m\_1m\_2|j\_1j\_2;jm\backslash rangle=(-1)^\; \backslash langle\; j\_2j\_1;m\_2m\_1|j\_2j\_1;jm\backslash rangle$ . 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「Table of Clebsch–Gordan coefficients」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.