任意子气体配分函数的路径积分计算及无歧点第二维里系数  

A PATH INTEGRAL CALCULATION OF THE SECOND VIRIAL COEFFICIENT FOR ANYON GAS WITH NO CUSPS

作　　者：朱沛臣[1] 万春华[1] 

机构地区：[1]南京大学物理系,南京210093

出　　处：《低温物理学报》1997年第1期8-16,共9页Low Temperature Physical Letters

摘　　要：本文详细介绍了任意子气体配分函数路径积分计算方法,并计算了在均匀外磁场中任意子气体的第二维里系数,两个任意子之间假设有平方反比的斥力存在,我们采用谐振子位势作为正规化手段,得到的第二维里系数是统计参数的光滑的周期性函数,不再存在歧点,同时外磁场使之产生不对称性。A path integral method for calculating the partition function of an anyon gas under external uniform magnetic field is introduced, for which a repulsive inverse-square potential is assumed between two anyons. Also an external harmonic potential is introduced for regularization. It has been shown that the second virial coefficient of the anyon gas is a periodic function of the statistic parameter α. There is no cusps at any points of the α.

关 键 词：任意子 气体配分函数 第二维里数 路径积分 

分 类 号：O413[理学—理论物理]