Generalized susceptibilities for a perfect quantum gas

Abstract

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 $\Lambda$ with side $L\ge 1$, and subjected to a constant magnetic field of intensity $B\ge 0$. Define the grand canonical generalized susceptibilities ${\chi }_L^N$, $N\ge 1$, as successive partial derivatives with respect to $B$ of the grand canonical pressure $P_L$. Denote by $P_{\infty }$ the thermodynamic limit of $P_L$. Our main result is that ${\chi }_L^N$ admit as thermodynamic limit the corresponding partial derivatives with respect to $B$ of $P_{\infty }$. In this paper we only give the main steps of the proofs, technical details will be given elsewhere.

Appeared in MPRF

Cited by in corpus (1)

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