低维囚禁理想玻色气体的玻色——爱因斯坦凝聚

Bose-Einstein Condensation of an Ideal Bose Gas Trapped in the Low Dimensional Space

应用局域密度近似（ＬＤＡ）研究低维玻色气体的玻色－爱因斯坦凝聚（ＢＥＣ），结果表明：对囚禁于外势中的玻色子来说，在低维情况下也有ＢＥＣ，但其临界温度Ｔｃ，基态的粒子占据率Ｎｏ／Ｎ，热容量Ｃ在临界温度附近的连续性问题都与外势形式紧密相关。

By using the local density approximation, Bose-Einstein condensation of Bose gas in the low dimensional space is investigated. The results show that when a proper external potential is taken, BEC may occur in the low dimensional space. The critical temperature Tc, the ground state fraction N0/N and the behaviour (jump or not) of the heat capacity C depend on the shape of the potential.