Methods for a nonuniform Bose gas

被引：18

作者：

Huang, K

Tommasini, P

机构：

[1] MIT, DEPT PHYS, CAMBRIDGE, MA 02139 USA

[2] HARVARD SMITHSONIAN CTR ASTROPHYS, INST THEORET ATOM & MOL PHYS, CAMBRIDGE, MA 02138 USA

来源：

JOURNAL OF RESEARCH OF THE NATIONAL INSTITUTE OF STANDARDS AND TECHNOLOGY | 1996年 / 101卷 / 04期

关键词：

Bogoliubov transformation; Bose-Einstein condensation; Bose gas; Gaussian wave function; hard-sphere interaction; negative scattering length; pseudopotential; self-consistent field; variational method;

D O I：

10.6028/jres.101.046

中图分类号：

TH7 [仪器、仪表];

学科分类号：

0804 ; 080401 ; 081102 ;

摘要：

We review mathematical methods for the treatment of a system of Bose particles with nonuniform density. The use of the pseudopotential is explained, especially with respect to negative scattering lengths. It is emphasized that the delta-function potential produces no scattering in three dimensions, and should not be used in the Bogoliubov self-consistent field method, which is variational in nature. A common misuse of the Bogoliubov method at finite temperatures is pointed out. A Gaussian variational method is proposed.

引用

页码：435 / 442

页数：8

共 29 条

[1] OBSERVATION OF BOSE-EINSTEIN CONDENSATION IN A DILUTE ATOMIC VAPOR [J].