B2.22
The Hamiltonian for a single electron atom has energy eigenstates with energy eigenvalues . There is an interaction with an electromagnetic wave of the form
where is the polarisation vector. At the atom is in the state . Find a formula for the probability amplitude, to first order in , to find the atom in the state at time . If the atom has a size and what are the selection rules which are relevant? For large, under what circumstances will the transition rate be approximately constant?
[You may use the result
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