ABC26PH0165 · Quantum Chemistry

Subject: Physical Chemistry · Chapter: Quantum Chemistry · Topic: Postulates Operators · Exam: CSIR-NET 2016 · 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 value of the commutator of A with H ([A,H]) is
(a)both $\left\langle\Psi_{1}\right|[A, H]\left|\Psi_{1}\right\rangle$ and $\left\langle\Psi_{2}\right|[A, H]\left|\Psi_{2}\right\rangle$ are non-zero
(b)only $\left\langle\Psi_{1}\right|[A, H]\left|\Psi_{1}\right\rangle$ is zero , but $\left\langle\Psi_{2}\right|[A, H]\left|\Psi_{2}\right\rangle$ is non-zero
(c)only $\left\langle\Psi_{2}\right|[A, H]\left|\Psi_{2}\right\rangle$ is zero, but $\left\langle\Psi_{1}\right|[A, H]\left|\Psi_{1}\right\rangle$ is non-zero
(d)both $\left\langle\Psi_{1}\right|[A, H]\left|\Psi_{1}\right\rangle$ and $\left\langle\Psi_{2}\right|[A, H]\left|\Psi_{2}\right\rangle$ are zero
Answer
Answer (as printed): D
Explanation
No explanation was printed for this question.

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