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The interpolation approach to nonextensive quantum statistics

机译：非广义量子统计的插值方法

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Recently it has been shown by the present author [H. Hasegawa, Phys. Rev. E 80 (2009) 011126] that the interpolation approximation (IA) to the generalized Bose-Einstein and Fermi-Dirac distributions yields good results in agreement with the exact ones within the O(q - 1) and in high- and low-temperature limits, where (q - 1) expresses the nonextensivity: the case of q = 1 corresponding to the conventional quantal distributions. This paper reports applications of the IA to four nonextensive quantum subjects: (i) the black-body radiation, (ii) the Bose-Einstein condensation, (iii) the BCS superconductivity and (iv) itinerant-electron (metallic) ferromagnetism. Effects of the nonextensivity on physical quantities in these nonextensive quantum systems have been investigated. Comparisons between the calculated results and available observed data are made for the subjects (ii) and (iii). It has been pointed out that the factorization approximation (FA) which has been so far applied to many nonextensive systems, overestimates the nonextensivity and that it leads to inappropriate results for fermion systems like the subjects (iii) and (iv).
机译：最近，本作者已经显示了它[H.长谷川物理学Rev 80（2009）011126]，广义的Bose-Einstein和Fermi-Dirac分布的插值逼近（IA）产生了与O（q-1）内以及高和低的精确值一致的良好结果-温度极限，其中（q-1）表示非扩展性：q = 1的情况与常规的数量分布相对应。本文报道了IA在四个非扩展量子主体上的应用：（i）黑体辐射;（ii）Bose-Einstein凝聚;（iii）BCS超导性;（iv）流动电子-（金属）铁磁性。已经研究了非延展性对这些非延展量子系统中物理量的影响。针对对象（ii）和（iii）进行了计算结果和可用观测数据之间的比较。已经指出，迄今为止已应用于许多非扩展系统的因式分解近似（FA）高估了非扩展性，并且导致像主题（iii）和（iv）的费米子系统产生了不合适的结果。

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