Validity of the shape-independent approximation for Bose-Einstein condensates

被引:71
作者
Esry, BD [1 ]
Greene, CH
机构
[1] Harvard Smithsonian Ctr Astrophys, Inst Theoret Atom & Mol Phys, Cambridge, MA 02138 USA
[2] Univ Colorado, Dept Phys, Boulder, CO 80309 USA
[3] Univ Colorado, JILA, Boulder, CO 80309 USA
来源
PHYSICAL REVIEW A | 1999年 / 60卷 / 02期
关键词
D O I
10.1103/PhysRevA.60.1451
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
The validity of the shape-independent approximation is studied for three trapped atoms. By comparing the total ground-state energy calculated using pseudopotentials in the Hartree-Fock approximation to the exact ground-state energy, the shape-independent approximation is shown to agree quantitatively only in the low-density limit. It is also shown using configuration interaction that a Dirac delta function is not suitable as a replacement for the two-body interaction in exact theories. [S1050-2947(99)01208-1].
引用
收藏
页码:1451 / 1462
页数:12
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