This exercise is modeled after Problem 5.23 in the book Modern Quantum Mechanics, Second Edition by J.J. Sakurai and Jim Napolitano.
Note that it is best if students have completed Problem 5.23 before exploring this exercise, but it is not necessary for students to have done so. Note, however, that the final analytic answer is given in the flowfile (but not derived).
The exercise deals with time-dependent perturbation theory in the case of an exponentially-decaying force applied to the harmonic oscillator potential.
Key words and phrases: quantum harmonic oscillator, time-dependent perturbation theory, time evolution, forced harmonic oscillator