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

Department of Mathematical Sciences

Research output: Contribution to journal › Journal article › Research › peer-review

5 Citations (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.

Original language	English
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	43
Issue number	47
Number of pages	13
ISSN	1751-8113
DOIs	https://doi.org/10.1088/1751-8113/43/47/474008
Publication status	Published - 2010

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title = "Diamagnetism of quantum gases with singular potentials",

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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