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I am trying to understand why Cooper pairs form. The textbook proof that I am reading (Grosso & Parravicini) starts out as follows: Imagine a 'passive' electron gas filled out to some Fermi sphere kF. Add two 'extra' electrons that interact via a potential U(x-x'). Transform to k-space and take the interaction U_kk' to be attractive within a narrow window of width hω_{D}/2pi above the Fermi sphere. This is the part where I don't follow. Why is this reasonable? Why does this make sense?

Any insights or helpful leads would be appreciated.

Thanks,

Sam

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# Why does the model interaction for Cooper pairs make sense?

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