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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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) below $$-\frac{\hbar^2}{2m}\nabla^2 \psi(x) + U(x)\psi(x) = E\psi(x)$$ But the potential contains the symmetry that $U(-x) = U(x)$. What this implies is that under the parity transform $$(x \implies …
answered Nov 3 '13 by user28823