Padéapproximant approach to singular properties of quantum gases:the ideal cases  

作　　者：Yuan-Hong Tian Wen-Du Li Yao Shen Wu-Sheng Dai 田远鸿;李文都;沈尧;戴伍圣(Department of Physics,Tianjin University,Tianjin 300350,China;College of Physics and Materials Science,Tianjin Normal University,Tianjin 300387,China;School of Criminal Investigation and Forensic Science,People's Public Security University of China,Beijing 100038,China)

机构地区：[1]Department of Physics,Tianjin University,Tianjin 300350,China [2]College of Physics and Materials Science,Tianjin Normal University,Tianjin 300387,China [3]School of Criminal Investigation and Forensic Science,People's Public Security University of China,Beijing 100038,China

出　　处：《Communications in Theoretical Physics》2021年第6期131-139,共9页理论物理通讯（英文版）

基　　金：supported in part by The Fundamental Research Funds for the Central Universities under Grant No.2020JKF306;Special Funds for theoretical physics Research Program of the NSFC under Grant No.11947124,and NSFC under Grant Nos.11575125 and 11675119。

摘　　要：In this paper,we show how to recover the low-temperature and high-density information of ideal quantum gases from the high-temperature and low-density approximation by the Padéapproximant.The virial expansion is a high-temperature and low-density expansion and in practice,often,only the first several virial coefficients can be obtained.For Bose gases,we determine the BEC phase transition from a truncated virial expansion.For Fermi gases,we recover the low-temperature and high-density result from the virial expansion.

关 键 词：approximate analytic continuation virial expansion Padéapproximant quantum gas 

分 类 号：O413[理学—理论物理] O414.1[理学—物理]