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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 Riemann–Silberstein vector ： ウィキペディア英語版 Riemann–Silberstein vector In mathematical physics, in particular electromagnetism, the Riemann–Silberstein vector, named after Bernhard Riemann and Ludwik Silberstein, (or sometimes ambiguously called the "electromagnetic field") is a complex vector that combines the electric field E and the magnetic field B.〔 〕〔 〕 ==Definition== Given an electric field E and a magnetic field B defined on a common region of spacetime, the Riemann–Silberstein vector is : $\backslash mathbf\; =\; \backslash mathbf\; +\; ic\; \backslash mathbf$ where ''c'' is the speed of light, with some authors preferring to multiply the right hand side by an overall constant $\backslash sqrt$ where ε0 is the permittivity of free space. It is analogous to the electromagnetic tensor ''F'', a 2-vector used in the covariant formulation of classical electromagnetism. In Silberstein's formulation, ''i'' was defined as the imaginary unit, and F was defined as a complexified 3-dimensional vector field. The value of F at an event was a bivector.〔 〕 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「Riemann–Silberstein vector」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.