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Quantum Many-particle QM

  1. Jun 28, 2015 #1

    hilbert2

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    Hi, I'm going to have a long graduate-level course on many-body quantum mechanics next fall and I'm already trying to prepare for it. I have the lecture notes that were used in the same course two years ago, but they are hand-written and a bit tedious to read. Can anyone suggest a good textbook on the subject? Material that will be covered includes Fock space, second quantization, many-particle Green functions and a little about the physics of superfluids. Thanks in advance.
     
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  3. Jun 28, 2015 #2

    vanhees71

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    The alltime classic for non-relativistic QFT (and that seems to be what you need) is

    Fetter, Alexander L., Walecka, John Dirk: Quantum Theory of Many-Particle Systems, McGraw-Hill Book Company, 1971

    For a more modern treatment, including path integrals, see

    Altland, A., Simons, B.: Condensed Matter Field Theory, 2 edition, Cambridge University Press, 2010

    and, last but not least, also a bit of real-time formalism, for which I recommend

    Danielewicz, P.: Quantum Theory of Nonequilibrium Processes I, Ann. Phys. 152, 239, 1984
    Danielewicz, P.: Quantum Theory of Nonequilibrium Processes II. Application to Nuclear Collisions, Ann. Phys. 152, 305–326, 1984
    Rammer, J.: Quantum Field Theory of Non-equilibrium States, Cambridge University Press, 2007

    and of course

    Keldysh, L.P.: Diagram Technique for Nonequilibrium Processes, Zh. Eksp. Teor. Fiz. 47, 1515, 1964, [Sov. Phys JETP 20 1965 1018]
     
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