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  3. consider the time dependent hamiltonian h=h0+w(t).

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

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Physics

  1. Consider the time dependent HamiltonianH=H0+W(t).|φn is a basis of H0. Whent<0, the system is in one of the eigen states,|φi, of the unperturbedHamiltonian H0. At ?=0 an, a timedependent perturbationWt=Ccos(ωt) is appliedto the system for a sufficiently long time, here C is acomplex number and w is the angular frequency of theapplied perturbation. Calculate the probability of finding thesystem in |φf eigen states ofH0 when the system in resonanceω≈ωfi. Assume also thatEf-Eiℏ=ωfi>0.

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