Could you prove that all energy cigenvalues have a degeneracy or the eigenstate has to be parity odd or even. given the hint: if there is no degeneracy, then the two eigenstates must be proportional to each other. Since (parity operator)^2 is the identity, there is a constraint on what the proportionality must be.

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Could you prove that all energy cigenvalues have a degeneracy or the eigenstate has to be parity
odd or even. given the hint: if there is no degeneracy, then the two eigenstates must be proportional
to each other. Since (parity operator)^2 is the identity, there is a constraint on what the proportionality must be.

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