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Hyperspherical Treatment of Strongly-Interacting Few-Fermion Systems in One Dimension

Quantum Gases 2015-04-23 v1 Quantum Physics

Abstract

We examine a one-dimensional two-component fermionic system in a trap, assuming that all particles have the same mass and interact through a strong repulsive zero-range force. First we show how a simple system of three strongly interacting particles in a harmonic trap can be treated using the hyperspherical formalism. Next we discuss the behavior of the energy for the N-body system.

Keywords

Cite

@article{arxiv.1408.6058,
  title  = {Hyperspherical Treatment of Strongly-Interacting Few-Fermion Systems in One Dimension},
  author = {A. G. Volosniev and D. V. Fedorov and A. S. Jensen and N. T. Zinner},
  journal= {arXiv preprint arXiv:1408.6058},
  year   = {2015}
}

Comments

5 pages. Original paper for EPJ ST in connection with the workshop BEC2014 28-31 May 2014 in Levico Terme, Italy