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One-Dimensional Parity Operator

The one dimensional parity operator (pie) is defined by attached. in other wards (phi) changes x into -x everywhere in the function

(a) is it a Hermitian operator?

(b) For what potentials V(x), is it possible to find a set of wave functions which are high eign- functions of the parity operator in solution of the one-dimensional time independent Schrodinger Eq?

Solution Summary

This solution checks whether the one-dimensional parity operator is Hermitian and also determines the set of wave functions which are high eigenfunctions of the parity operator.