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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 Antiunitary operator ： ウィキペディア英語版 Antiunitary operator In mathematics, an antiunitary transformation, is a bijective antilinear map :$U:H\_1\backslash to\; H\_2\backslash ,$ between two complex Hilbert spaces such that :$\backslash langle\; Ux,\; Uy\; \backslash rangle\; =\; \backslash overline$ for all $x$ and $y$ in $H\_1$, where the horizontal bar represents the complex conjugate. If additionally one has $H\_1\; =\; H\_2$ then U is called an antiunitary operator. Antiunitary operators are important in Quantum Theory because they are used to represent certain symmetries, such as time-reversal symmetry. Their fundamental importance in quantum physics is further demonstrated by Wigner's Theorem. ==Invariance transformations== In Quantum mechanics, the invariance transformations of complex Hilbert space $H$ leave the absolute value of scalar product invariant: :$|\backslash langle\; Tx,\; Ty\; \backslash rangle|\; =|\backslash langle\; x,\; y\; \backslash rangle|$ for all $x$ and $y$ in $H$. Due to Wigner's Theorem these transformations fall into two categories, they can be unitary or antiunitary. 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「Antiunitary operator」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.