Diamagnetism of quantum gases with singular potentials
arXiv:1005.1584 · doi:10.1088/1751-8113/43/47/474008
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 jointly analytic in the chemical potential ant the intensity of the external magnetic field. We also discuss the thermodynamic limit.