准二维谐振势阱中有限尺度的非理想玻色气体  

The finite-size interacting Bose gas trapped in a quasi two-dimensional harmonic trap

作　　者：金丽霞[1] 吴曙东[1] 詹志明[1] 陈爱喜[1] 

机构地区：[1]华中科技大学物理系

出　　处：《华中科技大学学报（自然科学版）》2002年第11期102-104,共3页Journal of Huazhong University of Science and Technology(Natural Science Edition)

基　　金：国家自然科学基金资助项目 (90 10 80 2 6 ;10 12 5 4 19;6 0 0 780 2 3)

摘　　要：研究了准二维谐振势阱中粒子数有限的非理想玻色气体的热力学性质 .利用巨正则系综的求和方法与平均场理论 ,给出了有限粒子数与原子间相互作用对系统热力学性质的共同修正 ;并将所得结果与三维时的情况进行了比较 .结果表明 :降低维数不能提高系统的临界温度 ;在准二维谐振系统中 ,有限粒子数对系统的影响随着粒子数的增大而减小直至消失 ,而相互作用的影响与粒子数无关 。The thermodynamic properties of the interacting finite size Bose gas caught in a quasi two dimensional harmonic trap are investigated. The effects due to the interaction and finite size are given simultaneously by using the sum method for the grand canonical ensemble and mean field theory. A comparison of the authors' results with the results of the three dimensional case shows that the critical temperature cannot be lowered by reducing the dimensions. In the quasi two dimensional harmonic system, the effect of the limited number of particles on the system decreases with an increase in the number of particles and will vanish when N→∞ while the effect of interaction has nothing to do with the number of particles. Therefore, the critical temperature of the quasi two dimensional harmonic system can be increased by increasing the number of the particles.

关 键 词：有限尺度 非理想玻色气体 准二维谐振势阱 巨正则系综 平均场理论 热力学性质 临界温度 凝聚系数 

分 类 号：O414.2[理学—理论物理]