Principles of Quantum Mechanics · Problem 18.2

Time-Dependent Perturbation Theory — R. Shankar

Physics — Quantum Mechanics · time-dependent-perturbation-theory

Problem

In the system of Problem 18.1, suppose the perturbation is turned on at t=0t = 0 and off at t=Tt = T. What is ∣c2(T)∣2|c_2(T)|^2 (in first-order perturbation theory)? Assume that ω≈ω0\omega \approx \omega_0, and give a simple formula for the probability of transition to state 2 in terms of γ\gamma, TT, ω0−ω\omega_0 - \omega, and ℏ\hbar.

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