Generalized susceptibilities for a perfect quantum gas
نویسندگان
چکیده
The system we consider here is a charged fermions gas in the effective mass approximation, and in grand-canonical conditions. We assume that the particles are confined in a three dimensional cubic box Λ with side L ≥ 1, and subjected to a constant magnetic field of intensity B ≥ 0. Define the grand canonical generalized susceptibilities χL , N ≥ 1, as successive partial derivatives with respect to B of the grand canonical pressure PL. Denote by P∞ the thermodynamic limit of PL. Our main result is that χL admit as thermodynamic limit the corresponding partial derivatives with respect to B of P∞. In this paper we only give the main steps of the proofs, technical details will be given elsewhere. MSC 2000: 82B10, 82B21, 81V99
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