Generalized susceptibilities for a perfect quantum gas

Simple item page
dc.creatorBriet, Philippe
dc.creatorCornean, Horia D.
dc.creatorLouis, Delphine
dc.date2006-05-05
dc.date.accessioned2026-07-07T07:13:43Z
dc.date.available2026-07-07T07:13:43Z
dc.descriptionThe 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 $L\geq 1$, and subjected to a constant magnetic field of intensity $ B \geq 0 $. Define the grand canonical generalized susceptibilities $χ_L^N$, $N\geq 1$, 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 $χ_L^N$ 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.
dc.descriptionAppeared in MPRF
dc.identifierhttps://arxiv.org/abs/math-ph/0605019
dc.identifierhttp://arxiv.org/abs/math-ph/0605019
dc.identifierMarkov Process. Related Fields vol. 11 no. 2, 177--188 (2005)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/112574
dc.subjectMathematical Physics
dc.subject82B10; 82B21
dc.titleGeneralized susceptibilities for a perfect quantum gas
dc.typetext

Files

Collections

arXiv