不同统计量粒子巨正则配分函数的等价性
Equivalence of the grand canonical partition functions of particles with different statistics
摘要:
证明了具有单粒子能谱$ε_i = (2n+k+3/2)\hbarω$的理想玻色系统的巨配分函数与具有单粒子能谱$ε_i =(n+1/2)\hbarω$的质点系的巨配分函数是相同的,并且服从基于置换群的一种特殊统计量.
英文摘要:
It is shown that the grand partition function of an ideal Bose system with single particle spectrum $ε_i = (2n+k+3/2)\hbarω$ is identical to that of a system of particles with single particle energy $ε_i =(n+1/2)\hbarω$ and obeying a particular kind of statistics based on the permutation group.
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