理想量子气体的抗磁展开
Diamagnetic expansions for perfect quantum gases
摘要：
本文研究了理想量子气体在强度为$B$的恒定磁场中的抗磁性质。本文研究了有限体积单粒子算符的Gibbs半群，并研究了它在不同拓扑下关于场参数$ω:= eB/c$的泰勒级数.这使我们能够证明存在的热力学极限的压力，并为所有其衍生物相对于$ω$（所谓的广义可拓性）。
英文摘要：
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).
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