关键词: 分数不相容统计, 理想任意子气体, 空间分布, 动量分布, 简谐势阱

Abstract: By using fractional exclusion statistics，the generalized Fermi energy is obtained for a finite ideal anyon gas in a threedimensional

spherically symmetric harmonic potential trap，the particle number effect and physical essence of generalized Fermi energy

and generalized Fermi temperature are revealed. The distributions in the coordinate and momentum spaces for ideal anyon gas at zero

temperature and finite temperature are derived，respectively，the generalized Fermi sphere and its radius are given. The effects of

statistical parameters，particle number and temperature on the distributions are studied，and are compared with the spatial distribution

and momentum distribution of ideal Fermi gas.

Key words: fractional exclusion statistics, ideal anyon gas, spatial distribution, momentum distribution, harmonic potential trap