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Mathematical aspects of weakly nonideal Bose and Fermi gases on a crystal base. (English. Russian original) Zbl 1148.82301
Funct. Anal. Appl. 37, No. 2, 94-102 (2003); translation from Funkts. Anal. Prilozh. 37, No. 2, 16-27 (2003).
Summary: We consider mathematical aspects of ideal Bose and Fermi gases on a crystal lattice and give a simple model of superfluidity and superconductivity for nonideal Bose and Fermi gases.

MSC:
82B10 Quantum equilibrium statistical mechanics (general)
82D50 Statistical mechanics of superfluids
82D55 Statistical mechanics of superconductors
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