Bose-Einstein condensation of nonrelativistic charged particles in a constant magnetic field

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dc.creatorStanden, Guy B.
dc.creatorToms, David J.
dc.date1997-12-12
dc.date.accessioned2026-07-07T03:09:37Z
dc.date.available2026-07-07T03:09:37Z
dc.descriptionThe statistical mechanics of a system of non-relativistic charged particles in a constant magnetic field is discussed. The spatial dimension $D$ is arbitrary with $D\geq 3$ assumed. Calculations are presented from first principles using the effective action method. For $D\geq 5$ the system has a phase transition with a Bose condensate. We show how the effective action method method deals with in a very natural way with the condensate and study it's rôle in the magnetization of the gas. For large values of the magnetic field we show how the magnetized gas in $D$ spatial dimensions behaves like the free Bose gas in $(D-2)$ spatial dimensions. Even though for D=3 the magnetized gas does not have a phase transition for any non-zero value of the magnetic field, we show how the specific heat starts to resemble the result for the free gas as the magnetic field is reduced. A number of analytical approximations for the magnetization and specific heat are given and compared with numerical results. In this way we are able to study in precise detail how the $B\to 0$ limit of the magnetized gas is achieved.
dc.description22 pages including 11 encapsulated postscript figures
dc.identifierhttps://arxiv.org/abs/cond-mat/9712141
dc.identifierhttp://arxiv.org/abs/cond-mat/9712141
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/27958
dc.subjectStatistical Mechanics
dc.subjectSuperconductivity
dc.titleBose-Einstein condensation of nonrelativistic charged particles in a constant magnetic field
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