Question: A spinless particle is scattered by a time-dependent potential Show that if the potential is treated to first order in the transition amplitude, the energy

A spinless particle is scattered by a time-dependent potential

Show that if the potential is treated to first order in the transition amplitude, the energy of the scattered particle is increased or decreased by h̄ω. Obtain dσ/dΩ. Discuss qualitatively what happens if the higher-order terms are taken into account.

V(r,t) = V(r)coswt.

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