Question

Q1. Consider a one-dimensional Harmonic Oscillator in its ground state perturbed by the following time-dependent interaction: H'(t) = -c x e^{-t/?}, where c and ? are constants. If H'(t) is acting from t=0 to t=?, what is the first-order probability that the oscillator is found at t=? a) in the ground state? b) in the first excited state?

          Q1. Consider a one-dimensional Harmonic Oscillator in its ground state perturbed by the following time-dependent interaction: H'(t) = -c x e^{-t/?}, where c and ? are constants. If H'(t) is acting from t=0 to t=?, what is the first-order probability that the oscillator is found at t=?
a) in the ground state?
b) in the first excited state?

Q1. Consider a one-dimensional Harmonic Oscillator in its ground state perturbed by the following time-dependent interaction: H'(t) = -c x e^-t/?, where c and ? are constants. If H'(t) is acting from t=0 to t=?, what is the first-order probability that the oscillator is found at t=?
a) in the ground state?
b) in the first excited state?

Added by Nathan W.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Hafiz Shahzaib

03/05/2022

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This perturbation acts from t = 0 to t0 = t0. Show more…

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Q1: Consider a one-dimensional Harmonic Oscillator in its ground state perturbed by the following time-dependent interaction: H "(t) = cx^2e, where c and e are constants. If H '"(t) is acting from t = 0 to t0 = mo, what is the first-order probability that the oscillator is found at t = 0? a) in the ground state? b) in the first excited state?