Phys. Rev. E 71, 045102(R) (2005) [4 pages]

Supersymmetry and models for two kinds of interacting particles

Abstract

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Thomas Guhr^1,* and Heiner Kohler^2,†
¹Matematisk Fysik, LTH, Lunds Universitet, Box 118, 22100 Lund, Sweden
²Institut für theoretische Physik, Universität Heidelberg, Philosophenweg 19, Heidelberg, Germany

Received 24 August 2004; published 19 April 2005

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.

URL:

http://link.aps.org/doi/10.1103/PhysRevE.71.045102

DOI:

10.1103/PhysRevE.71.045102

PACS:

05.30.−d, 02.20.−a, 02.30.Px

^*Electronic address: thomas.guhr@matfys.lth.se

^†Electronic address: kohler@tphys.uni-heidelberg.de

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Phys. Rev. E 71, 045102(R) (2005) [4 pages]

Supersymmetry and models for two kinds of interacting particles