Franz Schwabl Quantum Mechanics 4th Edit · Problem 6.9

Motion in an Electromagnetic Field

Physics — Quantum Mechanics · parity-operator

Problem

(a) Show that the parity operator

P

is a Hermitian operator. (b) Show that

P^2 = 1

and

[H, P] = 0

for a particle in a central potential. (c) What are the eigenvalues of the parity operator for the eigenfunctions of the one-dimensional harmonic oscillator?

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