Density profile of a harmonically trapped ideal Fermi gas in arbitrary dimension

被引：25
作者：
Mueller, EJ [1 ]
机构：
[1] Cornell Univ, Atom & Solid State Phys Lab, Ithaca, NY 14853 USA
来源：
PHYSICAL REVIEW LETTERS | 2004年 / 93卷 / 19期
基金：
美国国家科学基金会;
关键词：
D O I：
10.1103/PhysRevLett.93.190404
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Closed-form analytic expressions are derived for the density profile of a harmonically trapped noninteracting Fermi gas in d dimensions. Shell structure effects are included to leading order in 1/N, where N is the number of particles. These corrections to the local density approximation scale as deltan/nsimilar toN(-alpha), where alpha=(1+1/d)/2.
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页码：190404 / 1
页数：4
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