For non-degenerate perturbation theory for ground state, with E0(0) as zeroth order energy, E0(1) as the first-order perturbation correction and E0 as the exact energy, which of the following is true?

ABC26PH1214 · Quantum Chemistry

Subject: Physical Chemistry · Chapter: Quantum Chemistry · Topic: Perturbation Theory · Exam: NET DEC 2011 · Marks: 2 · Difficulty: Medium

For non-degenerate perturbation theory for ground state, with $\mathrm{E}_{0}^{(0)}$ as zeroth order energy, $\mathrm{E}_{0}^{(1)}$ as the first-order perturbation correction and $\mathrm{E}_{0}$ as the exact energy, which of the following is true?

(a)$\left(\mathrm{E}_{0}^{(0)}+\mathrm{E}_{0}^{(1)}\right)$ is always equal to $\mathrm{E}_{0}$

(b)$\left(\mathrm{E}_{0}^{(0)}+\mathrm{E}_{0}^{(1)}\right) \leq \mathrm{E}_{0}$

(c)$\left(\mathrm{E}_{0}^{(0)}+\mathrm{E}_{0}^{(1)}\right) \geq \mathrm{E}_{0}$

(d)$\mathrm{E}_{0} \leq\left(\mathrm{E}_{0}^{(1)}+\mathrm{E}_{0}\right)$

Answer

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