Diamagnetic expansions for perfect quantum gases
نویسنده
چکیده
In this work we study the diamagnetic properties of a perfect quantum gas in the presence of a constant magnetic field of intensity B. We investigate the Gibbs semigroup associated to the one particle operator at finite volume, and study its Taylor series with respect to the field parameter ω := eB/c in different topologies. This allows us to prove the existence of the thermodynamic limit for the pressure and for all its derivatives with respect to ω (the so-called generalized susceptibilities). MSC 2000: 82B10, 82B21, 81V99
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تاریخ انتشار 2006