Two interacting fermions in a one-dimensional harmonic trap: Matching the Bethe ansatz and variational approaches

被引：19
|
作者：
Rubeni, D. [1 ]
Foerster, A. [1 ]
Roditi, I. [2 ]
机构：
[1] Univ Fed Rio Grande do Sul, Inst Fis, Porto Alegre, RS, Brazil
[2] CBPF, Rio De Janeiro, Brazil
来源：
PHYSICAL REVIEW A | 2012年 / 86卷 / 04期
关键词：
D O I：
10.1103/PhysRevA.86.043619
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
In this work, combining the Bethe ansatz approach with the variational principle, we calculate the ground-state energy of the relative motion of a system of two fermions with spin up and spin down interacting via a delta-function potential in a one-dimensional (1D) harmonic trap. Our results show good agreement with the analytical solution of the problem, and provide a starting point for the investigation of more complex few-body systems where no exact theoretical solution is available.
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页数：6
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