Supersymmetry and models for two kinds of interacting particles
Abstract
We show that CalogeroSutherland 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 onedimensional semiconductor, another model corresponds to two kinds of particles confined to two perpendicular spatial directions with an interaction involving tensor forces.
 Publication:

Physical Review E
 Pub Date:
 April 2005
 DOI:
 10.1103/PhysRevE.71.045102
 arXiv:
 arXiv:mathph/0408033
 Bibcode:
 2005PhRvE..71d5102G
 Keywords:

 05.30.d;
 02.20.a;
 02.30.Px;
 Quantum statistical mechanics;
 Group theory;
 Abstract harmonic analysis;
 Mathematical Physics;
 Statistical Mechanics
 EPrint:
 4 pages, two figures