ANTIUNITARY OPERATOR PDF

We'd like to understand how you use our websites in order to improve them. Register your interest. A criterion to decide that some symmetries of a quantum system must be realized as antiunitary operators is given. It is based on some mathematical theorems about the second cohomology group of the symmetry group when expressed in terms of those of a normal subgroup and the corresponding factor group.

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By using our site, you acknowledge that you have read and understand our Cookie Policy , Privacy Policy , and our Terms of Service. Physics Stack Exchange is a question and answer site for active researchers, academics and students of physics. It only takes a minute to sign up. What is an antiunitary operator? How is this equation to be understood? If I correctly understood your misunderstanding, the answer is: operator is not always a matrix. Technically, action of time inversion operator contains complex conjugation.

Sign up to join this community. The best answers are voted up and rise to the top. Home Questions Tags Users Unanswered. Ask Question. Asked 8 years, 7 months ago. Active 3 years, 3 months ago. Viewed 7k times. Whelp Whelp 3, 23 23 silver badges 45 45 bronze badges. Active Oldest Votes. Misha Misha 3, 13 13 silver badges 32 32 bronze badges. But it seems it is a more generic kind of operator. Jonathan Gleason Jonathan Gleason 6, 5 5 gold badges 34 34 silver badges 57 57 bronze badges.

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Antiunitary symmetry operators in quantum mechanics

By using our site, you acknowledge that you have read and understand our Cookie Policy , Privacy Policy , and our Terms of Service. Physics Stack Exchange is a question and answer site for active researchers, academics and students of physics. It only takes a minute to sign up. What is an antiunitary operator? How is this equation to be understood? If I correctly understood your misunderstanding, the answer is: operator is not always a matrix.

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Antiunitary

In mathematics , an antiunitary transformation , is a bijective antilinear map. Antiunitary operators are important in quantum theory because they are used to represent certain symmetries, such as time reversal and charge conjugation symmetry. Their fundamental importance in quantum physics is further demonstrated by Wigner's theorem. Due to Wigner's theorem these transformations fall into two categories, they can be unitary or antiunitary. Congruences of the plane form two distinct classes.

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Normal Form of Antiunitary Operators

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