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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.

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.
Transcribed Image Text: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.
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