准二维玻色凝聚气体的基态波函数  

The ground state wave function of quasi-2D Bose-condensed gas

作　　者：吕东燕[1] 周原[1] 

机构地区：[1]湖北汽车工业学院科技学院,十堰442002

出　　处：《四川大学学报（自然科学版）》2011年第4期873-879,共7页Journal of Sichuan University(Natural Science Edition)

基　　金：湖北汽车工业学院科技学院青年基金

摘　　要：本文将类高斯模型用于准二维玻色气体系统,通过求解描述基态波函数的Gross-Pitaevskii方程,得到类高斯分布波函数,并将该波函数与已有的数值解和托马斯-费米近似解做了比较,发现非常吻合.其次通过求解能量泛函得出系统的基态能量以及化学势.分析了维度的变化对系统性质的影响.The quasi-Gauss model is applied to quasi-2D Bose gas. Through solving the Gross-Pitaevskii equation, the quasi-Gauss wave function is obtained, which agrees well with the previous numerical solution and Thomas-Fermi approximation model. In addition, through solving the energy function, we get the ground state energy and the chemical potential. The influence of dimension change to the nature of the system is analyzed.

关 键 词：波函数 Gross—Pitaevskii方程 能量泛函 化学势 

分 类 号：O414.13[理学—理论物理]