Question Bank MCQ • 2 Marks Section 4: Quantum Mechanics Perturbation theory

QB_PH_110: Perturbation theory

Question Statement

In WKB approximation, the quantization condition for two classical turning points is:
(A) \int_{x_1}^{x_2} p(x) dx = \left(n + \frac{1}{2}\right) \pi \hbar
(B) \int_{x_1}^{x_2} p(x) dx = n \pi \hbar
(C) \int_{x_1}^{x_2} p(x) dx = \left(n + \frac{1}{4}\right) \pi \hbar
(D) \int_{x_1}^{x_2} p(x) dx = 2n \pi \hbar
Correct Answer
A
Verified Key

Step-by-Step KaTeX Derivation & Detailed Explanation

### Solution: Two turning points each contribute a $\pi/2$ phase shift, giving $(n + 1/2)\pi\hbar$.
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