The microcanonical ensemble of the ideal relativistic quantum gas with angular momentum conservation

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dc.creatorBecattini, F.
dc.creatorFerroni, L.
dc.date2007-07-05
dc.date2007-10-17
dc.date.accessioned2026-07-07T10:56:36Z
dc.date.available2026-07-07T10:56:36Z
dc.descriptionWe derive the microcanonical partition function of the ideal relativistic quantum gas with fixed intrinsic angular momentum as an expansion over fixed multiplicities. We developed a group theoretical approach by generalizing known projection techniques to the Poincare' group. Our calculation is carried out in a quantum field framework and applies to particles with any spin. It extends known results in literature in that it does not introduce any large volume approximation and it takes particle spin fully into account. We provide expressions of the microcanonical partition function at fixed multiplicities in the limiting classical case of large volumes and large angular momenta and in the grand-canonical ensemble. We also derive the microcanonical partition function of the ideal relativistic quantum gas with fixed parity.
dc.description38 pages; minor corrections to the formulae for the published version
dc.identifierhttps://arxiv.org/abs/0707.0793
dc.identifierhttp://arxiv.org/abs/0707.0793
dc.identifierEur.Phys.J.C52:597-615,2007
dc.identifierdoi:10.1140/epjc/s10052-007-0403-7
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/186464
dc.subjectNuclear Theory
dc.subjectStatistical Mechanics
dc.titleThe microcanonical ensemble of the ideal relativistic quantum gas with angular momentum conservation
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