1- If the functions , and 2 are solutions of the Schrödinger equation for a particle, then show that a,,+azz, where a, and az are arbitrary constants, is also a solution of the same cquation.
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![1- If the functions 41 and 2 are solutions of the Schrödinger equation for a particle, then show
that az,+azb2, where a, and az are arbitrary 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 normalization integral is independent of time.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0bf242d7-db20-4f93-b797-6f5e8e93f94b%2F69813224-7d2d-4565-91f8-ab8bbcf692a9%2Fcazd9ek_processed.jpeg&w=3840&q=75)
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