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Problem 11

Solve problems 4.5 and 4.6 in Harrison

Problem 12

Consider Cooper pairs with non-zero total momentum. Show that their binding energy is smaller than that of pairs with zero total momentum if the interaction is attractive in a shell around the Fermi surface.

Problem 13

Calculate the fluctuations in particle number in the BCS wave function

Problem 14

Show that the BCS equations follow from applying the variational principle to the BCS wave function

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