Padé approximant approach to singular properties of quantum gases:the ideal cases

• 作者: Yuan-Hong Tian Wen-Du Li Yao Shen Wu-Sheng Dai
• 来源期刊: 理论物理通讯（英文版）
• 年，卷（期）: 2021,（6）
• 所属期刊栏目: STATISTICAL PHYSICS, SOFT MATTER AND BIOPHYSICS
• 页码范围: 131-139
• 页数: 9页
• 语种: 英文

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 Padé approximant.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.