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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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Why momentum operator anticommutes with parity?
In studying continuous geometrical symmetries, we found that the conservation of momentum is a consequence of translational symmetry. In quantum mechanics it means that the momentum operator is a gene …