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The Danish National Research Foundation:
Network in Mathematical Physics and Stochastics



Funded by The Danish National Research Foundation

MPS-RR 2003-24
October 2003




Do Bosons Condense in a Homogeneous Magnetic Field?

by: Philippe Briet , Horia Cornean, Valentin A. Zagrebnov

Abstract

It has been known since the rigorous result by Angelescu and Corciovei [A-C] that the answer to the question in the title is negative for the Perfect Bose Gas (PBG). The main result of the present paper is that the answer could become positive if the bosons are simultaneously embedded in a periodic external potential. We show that it is true for PBG, as well as for the Bose gas with a mean-field repulsive particle interaction.

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This paper has now been published in J. Statist. Phys. 116, 1545--1578 (2004)