Supersymmetry and models for two kinds of interacting particles.
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.
Guhr
Thomas
T
Matematisk Fysik, LTH, Lunds Universitet, Box 118, 22100 Lund, Sweden. thomas.guhr@matfys.lth.se
Kohler
Heiner
H