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1- If the functions 1 and z are solutions of the Schrödinger equation for a particle, then show
that az4,+azb2, where a, and az are arbitrary constants, is also a solution of the same
equation.
2- Show that the expectation valuc of a physical quantity can be real only if the corresponding
operator is Hermitian.
3- Show that the normalization integral is independent of time.

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