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Supersymmetric extensions of Calogero-Moser-Sutherland-like models: construction and some solutions

Kohler, H and Guhr, Thomas LU (2005) In Journal of Physics A: Mathematical and General 38(46). p.9891-9915
Abstract
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... (More)
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 quasi-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. (Less)
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Journal of Physics A: Mathematical and General
volume
38
issue
46
pages
9891 - 9915
publisher
IOP Publishing
external identifiers
  • wos:000233696200004
  • scopus:27844578224
ISSN
0305-4470
DOI
10.1088/0305-4470/38/46/001
language
English
LU publication?
yes
id
738cd872-de77-480c-9e24-9c0b62c58c73 (old id 211532)
date added to LUP
2007-08-24 16:01:00
date last changed
2017-01-01 07:05:13
@article{738cd872-de77-480c-9e24-9c0b62c58c73,
  abstract     = {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 quasi-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.},
  author       = {Kohler, H and Guhr, Thomas},
  issn         = {0305-4470},
  language     = {eng},
  number       = {46},
  pages        = {9891--9915},
  publisher    = {IOP Publishing},
  series       = {Journal of Physics A: Mathematical and General},
  title        = {Supersymmetric extensions of Calogero-Moser-Sutherland-like models: construction and some solutions},
  url          = {http://dx.doi.org/10.1088/0305-4470/38/46/001},
  volume       = {38},
  year         = {2005},
}