The spatial and momentum distributions of an ideal anyon gas   in a harmonic potential trap

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  • College of Physics and Photoelectric Technology,Baoji University of Science and Arts,Baoji,Shaanxi 721016,China

Received date: 2018-06-09

  Revised date: 2018-11-20

  Online published: 2019-06-10

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.

Cite this article

YUAN Du-qi . The spatial and momentum distributions of an ideal anyon gas   in a harmonic potential trap[J]. College Physics, 2019 , 38(5) : 8 . DOI: 10.16854 /j.cnki.1000-0712.180355

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