The ground state of a certain system with energy 0, is subjected to a perturbation V , yielding a first order correction 1. If E0 is the true ground-state energy of the perturbed system, the inequality that always holds is

ABC26PH1288 · Quantum Chemistry

Subject: Physical Chemistry · Chapter: Quantum Chemistry · Topic: Perturbation Theory · Exam: NET JUNE 2016 · Marks: 2 · Difficulty: Medium

The ground state of a certain system with energy $\epsilon_{0}$, is subjected to a perturbation V , yielding a first order correction $\epsilon_{1}$. If $\mathrm{E}_{0}$ is the true ground-state energy of the perturbed system, the inequality that always holds is

(a)$\epsilon_{1} \geq 0$

(b)$\epsilon_{1} \geq \mathrm{E}_{0}$

(c)$\epsilon_{0}+\epsilon_{1} \leq \mathrm{E}_{\mathrm{i}}$

(d)$\epsilon_{0}+\epsilon_{1} \geq \mathrm{E}_{\mathrm{i}}$

Answer

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Explanation

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