Physics – Nuclear Physics – Nuclear Theory
Scientific paper
2007-07-05
Eur.Phys.J.C52:597-615,2007
Physics
Nuclear Physics
Nuclear Theory
38 pages; minor corrections to the formulae for the published version
Scientific paper
10.1140/epjc/s10052-007-0403-7
We 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.
Becattini Francesco
Ferroni Lorenzo
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