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研究了各向异性谐振子捕获势中有限数目原子的玻色-爱因斯坦凝聚(BEC),结果表明:对有限数目捕获原子来说,它的BEC临界温度比热力学极限下捕获原子的BEC临界温度要低,原子间的相互作用也将提高(散射长度为负)或降低(散射长度为正)原子BEC临界温度.临界温度以下体系的比热随温度的变化行为不再是T3/2,而近似为T3.在定域密度近似下,还研究了各向同性捕获势中原子的空间分布,对有限数目的原子来说,它的密度比势力学极限下的要小,原子间的相互作用也降低原子的空间分布密度.The BEC in finite-number trapped atoms is investigated in this paper. The results show that the transition temperature is decreased by the finite-number effect, and the interactions between the atoms change the transition temperature, too. The specific heat below the transition point is no longer proportional to T3/2. In addition to the above effects, the distribution of the trapped atoms depend on its number. The repulsive interaction between the atoms also dilute the density of the atoms.
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