Antiunitary operator
Bijective antilinear map between two complex Hilbert spaces / From Wikipedia, the free encyclopedia
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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 is called an antiunitary operator.
Antiunitary operators are important in quantum mechanics because they are used to represent certain symmetries, such as time reversal.[1] Their fundamental importance in quantum physics is further demonstrated by Wigner's theorem.