概率因式分解假设下的量子气体分布
Quantum gas distributions prescribed by factorization hypothesis of probability
摘要：
基于热力学平衡所要求的复合几率因式分解假设，研究了非广延量子气体分布。结果表明，具有归一化平均的Tsallis非广延统计力学形式给出了标准玻色子和费米子服从泡利原理的分布函数.非归一化平均的形式导致一个中间量子分布的分数不相容统计，费米面在T=0取决于参数$q$。
英文摘要：
Nonextensive quantum gas distributions are investigated on the basis of the factorization hypothesis of compound probability required by thermodynamic equilibrium. It is shown that the formalisms of Tsallis nonextensive statistical mechanics with normalized average give distribution functions for standard bosons and fermions obeying Pauli principle. The formalism with unnormalized average leads to a intermediate quantum distribution comparable to that of fractional exclusion statistics, with Fermi surface at T=0 depending on the parameter $q$.
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