Physics – Mathematical Physics
Scientific paper
2005-10-10
J.Phys.A38:9891-9915,2005
Physics
Mathematical Physics
21 pages, 4 figures
Scientific paper
10.1088/0305-4470/38/46/001
We introduce a new class of models for interacting particles. Our construction is based on Jacobians for the radial coordinates on certain superspaces. The resulting models contain two parameters determining the strengths of the interactions. This extends and generalizes the models of the Calogero--Moser--Sutherland type for interacting particles in ordinary spaces. The latter ones are included in our models as special cases. Using results which we obtained previously for spherical functions in superspaces, we obtain various properties and some explicit forms for the solutions. We present physical interpretations. Our models involve two kinds of interacting particles. One of the models can be viewed as describing interacting electrons in a lower and upper band of a one--dimensional semiconductor. Another model is quasi--two--dimensional. Two kinds of particles are confined to two different spatial directions, the interaction contains dipole--dipole or tensor forces.
Guhr Thomas
Kohler Heiner
No associations
LandOfFree
Supersymmetric Extensions of Calogero--Moser--Sutherland like Models: Construction and Some Solutions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Supersymmetric Extensions of Calogero--Moser--Sutherland like Models: Construction and Some Solutions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Supersymmetric Extensions of Calogero--Moser--Sutherland like Models: Construction and Some Solutions will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-505529