分数阶统计与有限玻色系统：一维情形
Fractional statistics and finite bosonic system: A one-dimensional case
摘要：
建立了有限粒子数的一维玻色系统与服从分数阶（中间）Gentile统计的系统的等价性，其中单粒子能级的最大占据是有限的.本文考虑一维谐振子系统作为简谐囚禁玻色气体的模型。结果推广到具有功率能谱的系统。
英文摘要：
The equivalence is established between the one-dimensional (1D) Bose-system with a finite number of particles and the system obeying the fractional (intermediate) Gentile statistics, in which the maximum occupation of single-particle energy levels is limited. The system of 1D harmonic oscillators is considered providing the model of harmonically trapped Bose-gas. The results are generalized for the system with power energy spectrum.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
