翻訳と辞書 Words near each other ・ Electronic countermeasure ・ Electronic court filing ・ Electronic Cultural Atlas Initiative ・ Electronic daily devotional ・ Electronic dance music ・ Electronic data ・ Electronic data capture ・ Electronic data interchange ・ Electronic data processing ・ Electronic Data Processing (company) ・ Electronic Data Systems ・ Electronic deception ・ Electronic Defense Laboratories ・ Electronic Delay Storage Automatic Calculator ・ Electronic Democracy Party ・ Electronic density ・ Electronic Design (magazine) ・ Electronic design automation ・ Electronic dictionary ・ Electronic Diesel Control ・ Electronic differential ・ Electronic discovery ・ Electronic disk (disambiguation) ・ Electronic Distributed Monitoring and Evaluation Solution ・ Electronic Disturbance Theater ・ Electronic document ・ Electronic document and records management system ・ Electronic Document Professional ・ Electronic Document System ・ Electronic Dream 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 Electronic density ： ウィキペディア英語版 Electronic density In quantum mechanics, and in particular quantum chemistry, the electronic density is a measure of the probability of an electron occupying an infinitesimal element of space surrounding any given point. It is a scalar quantity depending upon three spatial variables and is typically denoted as either ''ρ''(r) or ''n''(r). The density is determined, through definition, by the normalized ''N''-electron wavefunction which itself depends upon 4''N'' variables (3''N'' spatial and ''N'' spin coordinates). Conversely, the density determines the wave function modulo a phase factor, providing the formal foundation of density functional theory. == Definition == The electronic density corresponding to a normalized ''N''-electron wavefunction (with r and ''s'' denoting spatial and spin variables respectively) is defined as :$$ \begin \rho(\mathbf)&=N\sum_ \cdots \sum_ \int \ \mathrm\mathbf_2 \ \cdots \int\ \mathrm\mathbf_N \ |\Psi(\mathbf,s_,\mathbf_,s_,...,\mathbf_,s_)|^2, \\ &= \langle\Psi|\hat(\mathbf)|\Psi\rangle, \end where the operator corresponding to the density observable is :$\backslash hat(\backslash mathbf)\; =\; \backslash sum\_^\backslash sum\_-\backslash mathbf\_).$ In Hartree–Fock and density functional theories the wave function is typically represented as a single Slater determinant constructed from ''N'' orbitals, ''φ''''k'', with corresponding occupations ''n''''k''. In these situations the density simplifies to :$\backslash rho(\backslash mathbf)=\backslash sum\_^N\; n\_|\backslash varphi\_k(\backslash mathbf)|^2.$ 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「Electronic density」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.