Question

QUANTUM MECHANICS

Problem 4 Consider a one-dimensional charged harmonic oscillator. Let the coordinate be, charge be q, mass be m, and the frequency of the oscillator be u. (a) 79 rat t =-oo, the oscillator is in the ground state 10). A uniform electric field E along x axis is applied betweentoo andtoo with the time dependence of E being given by E(t) ー(t/ア Neglect the induced magnetic field. Find the probability that the oscillator goes to the nth excited state at too to the order of O(E). (b) 7% Following (a), if the electric field is turned on adiabatically between t--oo and t 0 with Find the state of the oscillator at t = 0 to the order of 0(E), what would you expect the state of the oscillator at t 0 to be if one can sum over all orders of E? (c) 7% Suppose that the oscillator is originally in the ground state 10). A uniform electric field E is suddenly turned on at Find the probability of the oscillator being in the excited state at t

Answer 1