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1) Since, ψ1 and ψ2 are the solution of Schrodinger's equation, so they can be written as…

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

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