Parity
Let us examine the parity operator (P) and its eigenvalues. The parity operator acting on a wavefunction is defined by: P Y (x, y, z) = Y (-x, -y, -z) P 2 Y (x, y, z) = P Y (-x, -y, -z) = Y (x, y, z) Therefore P 2 = I and the parity operator is unitary.
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