Hybrid model of separable, zero-range, few-body interactions in one-dimensional harmonic traps

Molte Emil Strange Andersen, N. L. Harshman, and Nikolaj Thomas Zinner
Phys. Rev. A 96, 033616 – Published 13 September 2017

Abstract

This paper introduces a model for a few repulsively interacting particles trapped in a one-dimensional harmonic well and provides exact solutions for the three-particle case. This model is a hybrid of two other well-known systems, the Calogero model and the contact-interaction model, and coincides with them in limiting cases. However, those models have purely two-body interactions whereas this model has intrinsically few-body interactions. Comparing these three models provides clarifying distinctions among the properties of symmetry, separability, and integrability. The model's analytic solutions provide a useful basis to improve approximation schemes, especially near the unitary limit of hard-core contact interactions.

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  • Received 16 June 2017

DOI:https://doi.org/10.1103/PhysRevA.96.033616

©2017 American Physical Society

Physics Subject Headings (PhySH)

Atomic, Molecular & OpticalInterdisciplinary Physics

Authors & Affiliations

Molte Emil Strange Andersen1, N. L. Harshman1,2, and Nikolaj Thomas Zinner1

  • 1Institut for Fysik og Astronomi, Aarhus Universitet, Aarhus, Denmark
  • 2Department of Physics, American University, Washington, DC 20016, USA

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Vol. 96, Iss. 3 — September 2017

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