Simple criterion for the occurrence of Bose-Einstein condensation

被引：27

作者：

Kirsten, K ^{[1
]}

Toms, DJ ^{[1
]}

机构：

[1] UNIV NEWCASTLE UPON TYNE, DEPT PHYS, NEWCASTLE UPON TYNE NE1 7RU, TYNE & WEAR, ENGLAND

来源：

PHYSICS LETTERS B | 1996年 / 368卷 / 1-2期

关键词：

D O I：

10.1016/0370-2693(95)01505-1

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We examine the occurrence of Bose-Einstein condensation in both nonrelativistic and relativistic systems with no self-interactions in a general setting. A simple condition for the occurrence of Bose-Einstein condensation can be given if we adopt generalized C-functions to define the quantum theory. We show that the crucial feature governing Bose-Einstein condensation is the dimension q associated with the continuous part of the eigenvalue spectrum of the Hamiltonian for nonrelativistic systems or the spatial part of the Klein-Gordon operator for relativistic systems. In either case Bose-Einstein condensation can only occur if q greater than or equal to 3.

引用

页码：119 / 123

页数：5

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