A one-dimensional harmonic oscillator of charge q is acted upon by a uniform electric eld which may be considered to be a perturbation and which has time dependence of the form C so) = exp {(r/rrf}. {E T Assuming that when t z oo, the oscillator is in its ground state, evaluate the probability that it is in its rst excited state at t : +00 using time-dependent perturbation theory. You may assume that f eXP(-y2) dy = 5, +111 (n+1|j|n)= ('1 ). 2mm Discuss the behaviour of the transition probability and the applicability of the perturbation theory result when (a) T > 5