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Supersymmetry and models for two kinds of interacting particles

Thomas Guhr1,* and Heiner Kohler2,†

  • 1Matematisk Fysik, LTH, Lunds Universitet, Box 118, 22100 Lund, Sweden
  • 2Institut für theoretische Physik, Universität Heidelberg, Philosophenweg 19, Heidelberg, Germany

  • *Electronic address: thomas.guhr@matfys.lth.se
  • †Electronic address: kohler@tphys.uni-heidelberg.de
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Phys. Rev. E 71, 045102(R) – Published 19 April, 2005

DOI: https://doi.org/10.1103/PhysRevE.71.045102

Abstract

We show that Calogero-Sutherland models for interacting particles have a natural supersymmetric extension. For the construction, we use Jacobians that appear in certain superspaces. Some of the resulting Hamiltonians have a direct interpretation as models for two kinds of interacting particles. One model may serve to describe interacting electrons in a lower and upper band of a one-dimensional semiconductor, another model corresponds to two kinds of particles confined to two perpendicular spatial directions with an interaction involving tensor forces.

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Outline

Information

Phys. Rev. E 71, 045102(R)– Published 19 April, 2005
  • Received 24 August 2004

© 2005 American Physical Society

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