任意维理想玻色系统BEC现象的产生条件  

Producing Condition on Bose-Einstein Condensation of Any Dimensional Ideal Bose System

作　　者：杨秀德[1] 吴波[1,2] 

机构地区：[1]遵义师范学院,遵义563002 [2]西南大学,重庆400715

出　　处：《重庆科技学院学报（自然科学版）》2012年第4期181-183,共3页Journal of Chongqing University of Science and Technology：Natural Sciences Edition

基　　金：贵州省重点支持学科(黔教高发〔2011〕275号)

摘　　要：由粒子运动较一般的能谱关系,根据量子统计的一般程序,通过求系统巨配分函数讨论任意维理想玻色系统产生玻色-爱因斯坦凝聚(BEC)现象的临界温度和条件。在无外势约束且满足热力学极限条件下,任意维理想玻色系统能否产生BEC现象取决于系统粒子运动空间的维数与粒子能谱关系中的动量指数大小。此结论为普适性结论,能够对无外势条件下低维理想玻色系统不发生BEC现象作出解释。According to generic relation between particle＇s energy and momentum, we adopt the common procedure of quanta statistics which firstly work out the grand partition function, the critical temperature and producing condition of any dimensional ideal Bose system. With no external potential and in the thermodynamics condition, it is shown that the producing condition of any dimensional ideal Bose-Einstein Condensation only lies on the size relation between space dimensionality of particle and momentum＇s index in energy expression, which is a universal conclusion. For it, we can explain no Bose-Einstein Condensation with no external potential and under low dimensional soaces.

关 键 词：理想玻色系统 玻色-爱因斯坦凝聚现象 临界温度 

分 类 号：O414[理学—理论物理]