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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 Constraint algebra ： ウィキペディア英語版 Constraint algebra In theoretical physics, a constraint algebra is a linear space of all constraints and all of their polynomial functions or functionals whose action on the physical vectors of the Hilbert space should be equal to zero. For example, in electromagnetism, the equation for the Gauss' law :$\backslash nabla\backslash cdot\; \backslash vec\; E\; =\; \backslash rho$ is an equation of motion that does not include any time derivatives. This is why it is counted as a constraint, not a dynamical equation of motion. In quantum electrodynamics, one first constructs a Hilbert space in which Gauss' law does not hold automatically. The true Hilbert space of physical states is constructed as a subspace of the original Hilbert space of vectors that satisfy :$(\backslash nabla\backslash cdot\; \backslash vec\; E(x)\; -\; \backslash rho(x))\; |\backslash psi\backslash rangle\; =\; 0.$ In more general theories, the constraint algebra may be a noncommutative algebra. == See also == *First class constraints 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「Constraint algebra」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.