Intermediate symmetric construction of transformation between anyon and Gentile statistics  

作　　者：Yao Shen Fu-Lin Zhang 

机构地区：[1]School of Criminal Investigation,People's Public Security University of China,Beijing 100038,China [2]Department of Physics,School of Science,Tianjin University,Tianjin 300072,China

出　　处：《Communications in Theoretical Physics》2021年第6期126-130,共5页理论物理通讯（英文版）

基　　金：supported by the Fundamental Research Funds for the Central Universities Grant No.2020JKF306 and NSFC Grant No.11675119。

摘　　要：Gentile statistics describes fractional statistical systems in the occupation number representation.Anyon statistics researches those systems in the winding number representation.Both of them are intermediate statistics between Bose–Einstein and Fermi–Dirac statistics.The second quantization of Gentile statistics shows a lot of advantages.According to the symmetry requirement of the wave function and the property of braiding,we give the general construction of transformation between anyon and Gentile statistics.In other words,we introduce the second quantization form of anyons in an easier way.This construction is a correspondence between two fractional statistics and gives a new description of anyon.Basic relations of second quantization operators,the coherent state and Berry phase are also discussed.

关 键 词：gentile statistics ANYON fractional statistics computational method 

分 类 号：O469[理学—凝聚态物理]