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I need something like a summary of existing results, including the treatment of BCS Hamiltonian and Hubbard model. Auerbach's book is a good one but I still hope to get more comprehensive review. My purpose is to compare the methods and give an outline of the mathematical framework behind this. Currently I am working on a small problem, where I am asked to obtain some effective action from variational method. To really understand what I am doing, I need to understand other applications of the variational methods and hopefully to draw some analogies.

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I think this is too much of a recommendation question for this site. You could look at this and other book recommendation questions to see if there is anything useful. – David Zaslavsky Dec 3 '12 at 18:50

closed as too localized by David Zaslavsky Dec 3 '12 at 18:49

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