奥尔伯κ费米和玻色分布
Olbert's kappa Fermi and Bose distributions
摘要：
得到了适用于费米子的Olbert kappa分布的量子形式。它的构造很简单，但需要认识到费米动量所分隔的状态的性质差异。它的补充，玻色子版本的kappa分布也给出了，是如何构建一个假设的kappa-anyon分布的程序。在非常低的温度下，简并的kappa费米分布产生了普通简并费米能量和动量的kappa修正版本。我们给出了Olbert-Fermi配分函数和熵的Olbert-generalized表达式，这些表达式可以用来确定所有相关的统计力学量。可能的应用被设想为凝聚态物理，可能是量子等离子体，以及致密的天体物理对象，如类地行星、中子星、磁星的内部状态，其中量子效应发挥作用，主导微观尺度，但可能具有宏观后果。
英文摘要：
The quantum version of Olbert's kappa distribution applicable to fermions is obtained. Its construction is straightforward but requires recognition of the differences in the nature of states separated by Fermi momenta. Its complement, the bosonic version of the kappa distribution is also given, as is the procedure of how to construct a hypothetical kappa-anyon distribution. At very low temperature the degenerate kappa Fermi distribution yields a kappa-modified version of the ordinary degenerate Fermi energy and momentum. We provide the Olbert-generalized expressions of the Olbert-Fermi partition function and entropy which may serve determining all relevant statistical mechanical quantities. Possible applications are envisaged to condensed matter physics, possibly quantum plasmas, and dense astrophysical objects like the interior state of terrestrial planets, neutron stars, magnetars where quantum effects come into play, dominate the microscopic scale but may have macroscopic consequences.
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