تقرير
The microcanonical ensemble of the ideal relativistic quantum gas with angular momentum conservation
| العنوان: | The microcanonical ensemble of the ideal relativistic quantum gas with angular momentum conservation |
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| المؤلفون: | Becattini, F., Ferroni, L. |
| المصدر: | Eur.Phys.J.C52:597-615,2007 |
| سنة النشر: | 2007 |
| المجموعة: | Condensed Matter Nuclear Theory |
| مصطلحات موضوعية: | Nuclear Theory, Condensed Matter - Statistical Mechanics |
| الوصف: | 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. Comment: 38 pages; minor corrections to the formulae for the published version |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1140/epjc/s10052-007-0403-7 |
| URL الوصول: | http://arxiv.org/abs/0707.0793 |
| رقم الأكسشن: | edsarx.0707.0793 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1140/epjc/s10052-007-0403-7 |
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