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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 Cubic harmonic ： ウィキペディア英語版 Cubic harmonic In fields like computational chemistry and solid-state and condensed matter physics the so-called atomic orbitals, or spin-orbitals, as they appear in textbooks〔 〕〔 〕〔 〕 on quantum physics, are often partially replaced by cubic harmonics for a number of reasons. ==Introduction== The $l(l+1)$ hydrogen-like atomic orbitals with principal quantum number $n$ and angular momentum quantum number $l$ are often expressed as :$\backslash psi\_(\backslash bold)\; =\; R\_(r)\; Y\_l^m(\backslash theta,\backslash varphi)$ in which the $R\_(r)$ is the radial part of the wave function and $Y\_l^m(\backslash theta,\backslash varphi)$ is the angular dependent part. The $Y\_l^m(\backslash theta,\backslash varphi)$ are the spherical harmonics, which are solutions of the angular momentum operator. The spherical harmonics are representations of functions of the full rotation group SO(3)〔 〕 with rotational symmetry. In many fields of physics and chemistry these spherical harmonics are replaced by cubic harmonics because the rotational symmetry of the atom and its environment are distorted or because cubic harmonics offer computational benefits. 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「Cubic harmonic」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.