Diamagnetism of quantum gases with singular potentials

Philippe  Briet; Horia Cornean; Baptiste Savoie

doi:10.1088/1751-8113/43/47/474008

Diamagnetism of quantum gases with singular potentials

Philippe Briet, Horia Cornean, Baptiste Savoie

Institut for Matematiske Fag

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › peer review

5 Citationer (Scopus)

Abstract

We consider a gas of quasi-free quantum particles confined to a finite box, subjected to singular magnetic and electric fields. We prove in great generality that the finite volume grand-canonical pressure is analytic with respect to the chemical potential and the intensity of the external magnetic field. We also discuss the thermodynamic limit.

Originalsprog	Engelsk
Tidsskrift	Journal of Physics A: Mathematical and Theoretical
Vol/bind	43
Udgave nummer	47
Antal sider	13
ISSN	1751-8113
DOI	https://doi.org/10.1088/1751-8113/43/47/474008
Status	Udgivet - 2010

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10.1088/1751-8113/43/47/474008

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abstract = "We consider a gas of quasi-free quantum particles confined to a finite box, subjected to singular magnetic and electric fields. We prove in great generality that the finite volume grand-canonical pressure is analytic with respect to the chemical potential and the intensity of the external magnetic field. We also discuss the thermodynamic limit. ",

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T1 - Diamagnetism of quantum gases with singular potentials

AU - Briet, Philippe

AU - Cornean, Horia

AU - Savoie, Baptiste

PY - 2010

Y1 - 2010

N2 - We consider a gas of quasi-free quantum particles confined to a finite box, subjected to singular magnetic and electric fields. We prove in great generality that the finite volume grand-canonical pressure is analytic with respect to the chemical potential and the intensity of the external magnetic field. We also discuss the thermodynamic limit.

AB - We consider a gas of quasi-free quantum particles confined to a finite box, subjected to singular magnetic and electric fields. We prove in great generality that the finite volume grand-canonical pressure is analytic with respect to the chemical potential and the intensity of the external magnetic field. We also discuss the thermodynamic limit.

U2 - 10.1088/1751-8113/43/47/474008

DO - 10.1088/1751-8113/43/47/474008

M3 - Journal article

SN - 1751-8113

VL - 43

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

IS - 47

ER -

Diamagnetism of quantum gases with singular potentials

Abstract

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