Consider a charged-particle linear-harmonic oscillator acted upon by a homogeneous time-dependent electric field E(t) = E_0 *e ^(−t^2 /τ^2) where E_0 and τ are constants. Assuming that d E(t)/d t is small, and that at t = −∞ the oscillator is in the ground state, use the adiabatic approximation to obtain the probability that it will be found in an excited state as t → +∞.
