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Fermi's golden rule practice

This is sort of a reverse homework question...I'm hoping someone can give me a question, to which I'll try to provide an answer.

I have a QM2 exam coming up that is pretty much guaranteed to include Fermi's golden rule. Trouble is, I'm having difficulty finding good practice problems. I'm using Shankar, and there are no exercises in the section where he introduces it. He uses it for worked examples later on (like for ionization of the H atom) but these examples also introduce other concepts, so I can't just try them closed book. Could someone give me a good golden rule problem to try my hand at?
 
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