A particle with charge-to-mass ratiome in a one-dimensional harmonic oscillator with spring constant k is in the ground state, so that the particle has natural oscillation frequencyo=mk

An oscillating uniform electric field E(t)=Eocos(t) is applied parallel to the motion of the oscillator for T seconds. What is the probability that the particle is excited to the state |n? Evaluate the probability of making a transition when ₀, the resonance condition. Treat the electromagnetic field as a classical field. Recall that the Hamiltonian is altered by the presence of an electric field E by the addition of a term H₁ = E, where is the electric dipole moment operator.