Perturbing Hamiltonian optical absorption in semiconductors

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dyn
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Hi
I am looking at the problem of optical absorption in direct gap semiconductors. It seems like the perturbing Hamiltonian is an oscillating perturbation , ie. an electromagnetic wave. Why can't the problem be treated as the absorption of a single particle , ie. a photon ?
 
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Of course it can, but it is more complicated to treat the electromagnetic field quantum mechanically than classically.