The one-dimensional parity operator pi is defined by pi psi, Physics

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The one-dimensional parity operator pi is defined by pi psi

The one-dimensional parity operator pi is defined by pi psi (x) = psi (-x) In other words, pi changes x into –x everywhere in the function. Is pi a Hermitian operator? For what potentials V(x) is it possible to find a set of wavefunctions which are eigenfunctions of the parity operator and solutions of the one-dimensional time-independent Schrondinger equation?

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