Q76 · CSIR NET Chemistry, June 2016

Paper: CSIR NET June 2016 · Subject: Physical Chemistry · Chapter: Quantum Chemistry · Topic: Postulates Operators · Marks: 2 · Difficulty: Medium

For a hermitian operator A, which does NOT commute with the Hamiltonian H, let $\psi_1$ be an eigenfunction of A and $\psi_2$ be an eigenfunction of H. The correct statement regarding the average of A and value of the commutator of A with H ([A,H]) is
(a)both $\psi_1 [A, H] \psi_1$ and $\psi_2 [A, H] \psi_2$ are non-zero
(b)only $\psi_1 [A, H] \psi_1$ is zero, but $\psi_2 [A, H] \psi_2$ is non-zero
(c)only $\psi_2 [A, H] \psi_2$ is zero, but $\psi_1 [A, H] \psi_1$ is non-zero
(d)both $\psi_1 [A, H] \psi_1$ and $\psi_2 [A, H] \psi_2$ are zero
Answer
SELF-PRACTICE — the source book printed no answer.

Nothing is invented here, so this question has no answer on record.

Explanation
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