Subject: Physical Chemistry · Chapter: Quantum Chemistry · Topic: Perturbation Theory · Exam: NET JUNE 2016 · Marks: 2 · Difficulty: Medium
Which of the following statements on ground state perturbation theory, involving the zeroth order energy $\mathrm{E}_{0}^{(0)}$, first order energy correction $\mathrm{E}_{0}^{(1)}$ and second order energy correction $\mathrm{E}_{0}^{(2)}$, is false?
(a)$\mathrm{E}_{0}^{(1)}$ is the average value of perturbation operator with respect to the ground state of the zeroth order Hamiltonian.
(b)$\mathrm{E}_{0}^{(1)}$ is necessarily negative.
(c)$\mathrm{E}_{0}^{(2)}$ is necessarily negative.
(d)$\mathrm{E}_{0}^{(0)} \mathrm{E}_{0}^{(1)}$ is an upper bound to the exact ground state energy.
Answer
SELF-PRACTICE — the source book printed no answer.
Nothing is invented here, so this question has no answer on record.