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Hyperspherical treatment of strongly-interacting few-fermion systems in one dimension

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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.

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Authors and Affiliations

  1. Department of Physics and Astronomy, Aarhus University, 8000, Aarhus C, Denmark

    A. G. Volosniev, D. V. Fedorov, A. S. Jensen & N. T. Zinner

Authors
  1. A. G. Volosniev
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  2. D. V. Fedorov
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  3. A. S. Jensen
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  4. N. T. Zinner
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Correspondence to A. G. Volosniev.

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Volosniev, A.G., Fedorov, D.V., Jensen, A.S. et al. Hyperspherical treatment of strongly-interacting few-fermion systems in one dimension. Eur. Phys. J. Spec. Top. 224, 585–590 (2015). https://doi.org/10.1140/epjst/e2015-02390-2

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  • DOI: https://doi.org/10.1140/epjst/e2015-02390-2

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