Diamagnetism of quantum gases with singular potentials
Philippe Briet (CPT), Horia D. Cornean (MATH. DEPT., AALBORG, UNIVERSITY), Baptiste Savoie (CPT)
TL;DR
This paper proves the joint analyticity of the grand-canonical pressure for quantum gases with singular magnetic and electric fields, and discusses the thermodynamic limit, advancing understanding of quantum gases under complex external fields.
Contribution
It establishes the analyticity of the pressure in the presence of singular potentials and explores the thermodynamic limit for such quantum gases.
Findings
Grand-canonical pressure is jointly analytic in chemical potential and magnetic field intensity.
Results hold for a broad class of singular magnetic and electric fields.
Discussion of the thermodynamic limit extends the theoretical framework for quantum gases.
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.