Supersymmetry and models for two kinds of interacting particles
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.
- Publication:
-
Physical Review E
- Pub Date:
- April 2005
- DOI:
- 10.1103/PhysRevE.71.045102
- arXiv:
- arXiv:math-ph/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
- E-Print:
- 4 pages, two figures