Question Bank MCQ • 1 Mark Section 4: Quantum Mechanics Perturbation theory

QB_PH_101: Perturbation theory

Question Statement

The ground state ($n = 1, l = 0$) of hydrogen in a weak uniform electric field $\mathcal{E}$ exhibits what shift?
(A) Quadratic Stark effect (\Delta E \propto \mathcal{E}^2)
(B) Linear Stark effect
(C) Zero shift at any order
(D) Cubic shift
Correct Answer
A
Verified Key

Step-by-Step KaTeX Derivation & Detailed Explanation

### Solution: By parity, first-order matrix element vanishes, resulting in quadratic Stark shift.
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