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摘要翻译：
我们导出了具有固定内禀角动量的理想相对论量子气体的微正则配分函数作为固定重数的展开式。通过将已知的投影技术推广到庞加莱群，我们发展了一个群理论方法。我们的计算是在量子场框架下进行的，适用于任意自旋的粒子。它扩展了文献中已知的结果，因为它没有引入任何大体积近似，而且它充分考虑了粒子自旋。在大体积、大角动量的极限经典情形和巨正则系综中，给出了固定倍数下微正则配分函数的表达式。我们还导出了宇称固定的理想相对论量子气体的微正则配分函数。
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英文标题：
《The microcanonical ensemble of the ideal relativistic quantum gas with
angular momentum conservation》
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作者：
F. Becattini, L. Ferroni (University of Florence and INFN)
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最新提交年份：
2007
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分类信息：
一级分类：Physics 物理学
二级分类：Nuclear Theory 核理论
分类描述：Nuclear Theory Theory of nuclear structure covering wide area from models of hadron structure to neutron stars. Nuclear equation of states at different external conditions. Theory of nuclear reactions including heavy-ion reactions at low and high energies. It does not include problems of data analysis, physics of nuclear reactors, problems of safety, reactor construction
核理论涵盖从强子结构模型到中子星等广泛领域的核结构理论。不同外部条件下的核状态方程。核反应理论，包括低能和高能的重离子反应。它不包括数据分析问题、核反应堆物理问题、安全问题、反应堆建设问题
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一级分类：Physics 物理学
二级分类：Statistical Mechanics 统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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英文摘要：
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.
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PDF链接：
https://arxiv.org/pdf/707.0793
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