Correlations in a confined gas of harmonically interacting spin-polarized fermions

被引:25
作者
Brosens, F
Devreese, JT
Lemmens, LF
机构
[1] Univ Antwerp, Dept Natuurkunde, B-2610 Wilrijk, Belgium
[2] Univ Antwerp, Dept Natuurkunde, B-2020 Antwerp, Belgium
[3] Tech Univ Eindhoven, NL-5600 MB Eindhoven, Netherlands
来源
PHYSICAL REVIEW E | 1998年 / 58卷 / 02期
关键词
D O I
10.1103/PhysRevE.58.1634
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
For a fermion gas with equally spaced energy levels, the density and the pair correlation function are obtained. The derivation is based on the path integral approach for identical particles and the inversion of the generating functions for both static responses. The density and the pair correlation function are evaluated explicitly in the ground state of a confined fermion system with a number of particles ranging from 1 to 220, and filling the Fermi level completely.
引用
收藏
页码:1634 / 1643
页数:10
相关论文
共 25 条
[1]   OBSERVATION OF BOSE-EINSTEIN CONDENSATION IN A DILUTE ATOMIC VAPOR [J].
ANDERSON, MH ;
ENSHER, JR ;
MATTHEWS, MR ;
WIEMAN, CE ;
CORNELL, EA .
SCIENCE, 1995, 269 (5221) :198-201
[2]   EVIDENCE OF BOSE-EINSTEIN CONDENSATION IN AN ATOMIC GAS WITH ATTRACTIVE INTERACTIONS [J].
BRADLEY, CC ;
SACKETT, CA ;
TOLLETT, JJ ;
HULET, RG .
PHYSICAL REVIEW LETTERS, 1995, 75 (09) :1687-1690
[3]   Confined harmonically interacting spin-polarized fermions [J].
Brosens, F ;
Devreese, JT ;
Lemmens, LF .
PHYSICAL REVIEW E, 1998, 57 (04) :3871-3877
[4]   Thermodynamics of coupled identical oscillators within the path-integral formalism [J].
Brosens, F ;
Devreese, JT ;
Lemmens, LF .
PHYSICAL REVIEW E, 1997, 55 (01) :227-236
[5]   Density and pair correlation function of confined identical particles: The Bose-Einstein case [J].
Brosens, F ;
Devreese, JT ;
Lemmens, LF .
PHYSICAL REVIEW E, 1997, 55 (06) :6795-6802
[6]   FERMION DIFFUSION AND THE FEYNMAN-KAC FUNCTIONAL FOR INTERACTING FERMIONS [J].
BROSENS, F ;
DEVREESE, JT ;
LEMMENS, LF .
SOLID STATE COMMUNICATIONS, 1995, 96 (03) :137-141
[7]   Rotational properties of trapped bosons [J].
Brosens, F ;
Devreese, JT ;
Lemmens, LF .
PHYSICAL REVIEW A, 1997, 55 (03) :2453-2456
[8]   Trapped Fermi gases [J].
Butts, DA ;
Rokhsar, DS .
PHYSICAL REVIEW A, 1997, 55 (06) :4346-4350
[9]   EXACT REDUCED DENSITY-MATRICES FOR A MODEL PROBLEM [J].
COHEN, L ;
LEE, C .
JOURNAL OF MATHEMATICAL PHYSICS, 1985, 26 (12) :3105-3108
[10]   BOSE-EINSTEIN CONDENSATION IN A GAS OF SODIUM ATOMS [J].
DAVIS, KB ;
MEWES, MO ;
ANDREWS, MR ;
VANDRUTEN, NJ ;
DURFEE, DS ;
KURN, DM ;
KETTERLE, W .
PHYSICAL REVIEW LETTERS, 1995, 75 (22) :3969-3973