Bose Condensation Without Broken Symmetries

dc.creatorRuckenstein, Andrei E.
dc.date2001-04-01
dc.date.accessioned2026-07-07T02:40:56Z
dc.date.available2026-07-07T02:40:56Z
dc.descriptionThis paper considers the issue of Bose-Einstein condensation in a weakly interacting Bose gas with a fixed total number of particles. We use an old current algebra formulation of non-relativistic many body systems due to Dashen and Sharp to show that, at sufficiently low temperatures, a gas of weakly interacting Bosons displays Off-diagonal Long Range Order in the sense introduced by Penrose and Onsager. Even though this formulation is somewhat cumbersome it may demystify many of the standard results in the field for those uncomfortable with the conventional broken symmetry based approaches. All the physics presented here is well understood but as far as we know this perspective, although dating from the 60's and 70's, has not appeared in the literature. We have attempted to make the presentation as self-contained as possible in the hope that it will be accessible to the many students interested in the field.
dc.identifierhttps://arxiv.org/abs/cond-mat/0104010
dc.identifierhttp://arxiv.org/abs/cond-mat/0104010
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/17556
dc.subjectStatistical Mechanics
dc.titleBose Condensation Without Broken Symmetries
dc.typetext

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