A one-dimensional harmonic oscillator begins in its ground state at time t = 0. For t > 0, the oscillator is subject to a time dependent force of F(t) Foet/ (2) Using time-dependent perturbation theory to first order, obtain the probabililty of finding the particle in its first excited state for t > 0. Show that your result is independent of time as t > o0. Is this surprising?

A one-dimensional harmonic oscillator begins in its ground state at time t = 0. For t > 0, the oscillator is subject to a time dependent force of F(t) Foet/ (2) Using time-dependent perturbation theory to first order, obtain the probabililty of finding the particle in its first excited state for t > 0. Show that your result is independent of time as t > o0. Is this surprising?