|
In mathematics, an antiunitary transformation, is a bijective antilinear map : between two complex Hilbert spaces such that : for all and in , where the horizontal bar represents the complex conjugate. If additionally one has 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 leave the absolute value of scalar product invariant: : for all and in . 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
|