The microcanonical ensemble of the ideal relativistic quantum gas with angular momentum conservation |
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Authors: | F Becattini L Ferroni |
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Institution: | (1) Università di Firenze and INFN Sezione di Firenze, Via G. Sansone 1, 50019 Sesto F.no (Firenze), Italy |
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Abstract: | 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 Poincaré group. Our calculation is carried out in a quantum field framework and applies to particles with any spin.
It extends known results in the 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. |
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Keywords: | |
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