Diamagnetism of quantum gases with singular potentials

Philippe Briet (1, 2) , Horia D. Cornean (3) , Baptiste Savoie (1, 2)

1 CPT - Centre de Physique Théorique - UMR 6207
2 CPT - Centre de Physique Théorique - UMR 7332
3 MATH. DEPT., AALBORG UNIVERSITY - Institut for Matematiske Fag, Aalborg university

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 before the thermodynamic limit, the grand-canonical pressure is jointly analytic in the chemical potential ant the intensity of the external magnetic field. We also briefly discuss the thermodynamic limit.

Mots clés: Diamagnetism; quantum gases; Schrödinger operators; grand-canonical ensemble; canonical ensemble

Domaines: Physique mathématique [math-ph]; Physique mathématique [math-ph]; Gaz Quantiques [cond-mat.quant-gas]; Mécanique statistique [cond-mat.stat-mech]

Philippe Briet, Horia D. Cornean, Baptiste Savoie. Diamagnetism of quantum gases with singular potentials. 2010. ⟨hal-00482141v1⟩