On the derivation of the entropy of ideal quantum gases confined in a three-dimensional harmonic potential  

作　　者：Le Tri Dat Vinh N T Pham 

机构地区：[1]Laboratory of Applied Physics,Advanced Institute of Materials Science,Ton Duc Thang University,Ho Chi Minh City 756636,Vietnam [2]Faculty of Applied Sciences,Ton Duc Thang University,Ho Chi Minh City 756636,Vietnam [3]Ho Chi Minh City University of Education,Ho Chi Minh City 748342,Vietnam

出　　处：《Communications in Theoretical Physics》2020年第4期106-111,共6页理论物理通讯（英文版）

摘　　要：In this work,the entropy functions of ideal quantum gases in a three-dimensional harmonic trap are analytically calculated using temperature as an explicit variable.Afterward,the applicability of the analytical formulas is validated by comparison with the numerical calculation.The results illustrate that the obtained functions could be applied for the whole temperature regime with a maximum relative deviation of less than 7.5%in the vicinity of the critical temperature Tcin the case of Bose gases.Meanwhile,for Fermi gases,although the analytical formula fits well at very low-and high-temperature regimes,it cannot be applied at temperature in the range[0.3-0.5]T_F,where T_F is the Fermi temperature.In addition,the consistency between our formulas and classical ones at significantly high temperatures is also discussed.

关 键 词：THERMODYNAMIC properties ENTROPY 3D harmonic TRAP IDEAL quantum gases 

分 类 号：O414.11[理学—理论物理] O413[理学—物理]