标题： 在$d$维度下，对一般幂律势阱中理想玻色气体的玻色凝聚现象的研究 显示英文标题

标题： Investigation of Bose condensation in ideal Bose gas trapped under generic power law potential in $d$ dimension

摘要： 理想玻色气体在外部通用幂律势场$U=\sum_{i=1} ^d c_i |\frac{x_i}{a_i}|^{n_i}$作用下玻色凝聚特性的变化被仔细研究。 金的详细计算$et$ $al.$ (S. H. Kim, C. K. Kim 和 K. Nahm, J Phys. Condens. Matter 11 10269 (1999).) 得到了随分数维变化的凝聚相变层次结构。 在本文中，给出了关于定容比热$C_V$的一些定理。 对这些定理的仔细检查揭示了在受限系统中凝聚相变隐藏层次结构的存在。 显示英文摘要

摘要： The changes in characteristics of Bose condensation of ideal Bose gas due to an external generic power law potential $U=\sum_{i=1} ^d c_i |\frac{x_i}{a_i}|^{n_i}$ are studied carefully. Detailed calculation of Kim $et$ $al.$ (S. H. Kim, C. K. Kim and K. Nahm, J Phys. Condens. Matter 11 10269 (1999).) yielded the hierarchy of condensation transitions with changing fractional dimensionality. In this manuscript, some theorems regarding specific heat at constant volume $C_V$ are presented. Careful examination of these theorems reveal the existence of hidden hierarchy of the condensation transition in trapped systems as well.