Consider the time dependent Hamiltonian H=H0+W(t). |φn is a basis of H0. When t<0, the system...

Consider the time dependent Hamiltonian H=H0+W(t). |φn is a basis of H₀. When t<0, the system is in one of the eigen states, |φi, of the unperturbed Hamiltonian H₀. At ?=0 an, a time dependent perturbation Wt=Ccos(ωt) is applied to the system for a sufficiently long time, here C is a complex number and w is the angular frequency of the applied perturbation. Calculate the probability of finding the system in |φf eigen states of H₀ when the system in resonance ω≈ωfi. Assume also that Ef-Eiℏ=ωfi >0.

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genius_generous answered 2 years ago

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