Supersymmetry and Models for Two Kinds of Interacting Particles

Details Supersymmetry and Models for Two Kinds of Interacting Particles Supersymmetry and Models for Two Kinds of Interacting Particles

2004-08-21

arxiv.org/abs/math-ph/0408033v1

Phys.Rev. E71 (2005) 045102

Physics

Mathematical Physics

4 pages, two figures

Scientific paper

10.1103/PhysRevE.71.045102

We show that Calogero-Sutherland models for interacting particles have a natural supersymmetric extension. For the construction, we use Jacobians which appear in certain superspaces. Some of the resulting Hamiltonians have a direct physics 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 quasi-one-dimensional semiconductor, another model corresponds to two kinds of particles confined to two different spatial directions with an interaction involving tensor forces.

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