教学研究

简谐势阱中理想任意子气体的空间分布与动量分布

展开
  • 宝鸡文理学院光电技术学院,陕西宝鸡721016
袁都奇( 1954—) ,男,陕西扶风人,宝鸡文理学院物理与光电技术学院教授,主要从事现代热力学及统

收稿日期: 2018-06-09

  修回日期: 2018-11-20

  网络出版日期: 2019-06-10

基金资助

陕西省自然科学计划项目计划( 2012JM1006) 资助

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

Expand
  • 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

摘要

应用分数不相容统计,求出了球对称简谐势阱中有限理想任意子气体的广义费米能和广义费米温度,揭示了广义

费米能、广义费米温度的粒子数效应及其物理实质.导出了零温和有限温度时任意子气体的空间分布和动量分布,给出了广义

费米球及其半径,研究了统计参数和粒子数效应以及非零温时温度对分布的影响,并与理想费米气体的空间分布及动量分布

进行了比较.

本文引用格式

袁都奇 . 简谐势阱中理想任意子气体的空间分布与动量分布[J]. 大学物理, 2019 , 38(5) : 8 . DOI: 10.16854 /j.cnki.1000-0712.180355

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.

文章导航

/