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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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I would be grateful if somebody could help me brining the parity operator and the particle exchange operator together. Suppose, there is a two-proton system, where one proton is sitting at $+r$ on … the $x$-axis, one is sitting at $-r$, as shown in the figure. In this situation, the parity operator $\hat P_{\text{pa}}$ should be the same as the particle exchange $\hat P_{\text{ex}}$ operator …
asked Apr 28 '13 by fiedl