Two interacting fermions in a 1D harmonic trap: matching the Bethe ansatz and variational approaches
Quantum Gases
2012-11-06 v1
Abstract
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 down interacting via a delta-function potential in a 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.
Keywords
Cite
@article{arxiv.1208.2206,
title = {Two interacting fermions in a 1D harmonic trap: matching the Bethe ansatz and variational approaches},
author = {D. Rubeni and A. Foerster and I. Roditi},
journal= {arXiv preprint arXiv:1208.2206},
year = {2012}
}
Comments
8 pages, 2 figures