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Parity inversion P amounts to the sign flip of an odd number of coordinates (reflection). A parity-symmetric theory conserves P; since P²=I, the eigenvalues of P are 1 or -1. May be also used for formally analogous global, discrete, Z₂ symmetries, such as R- or G-parity.

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Check if Hamiltonian is $PT$ symmetric

If an Operator is $PT$ symmetric, then its Eigenvalues are real and the time evolution is unitary, just like hermitian Operators. This is described in many books and papers, but I'm not sure how to ac …
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Check if Hamiltonian is $PT$ symmetric

Thanks for you answer, this kinda helped me out. But I think I need to tell what my actual problem is. Im looking at the Dirac equation in $AdS_2$-Space. The Hamiltonian is given by: \begin{align*} H …
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