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Supersymmetry and models for two kinds of interacting particles

Guhr, Thomas LU and Kohler, H (2005) In Physical Review E 71(4).
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.
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Physical Review E
volume
71
issue
4
publisher
American Physical Society
external identifiers
  • wos:000228752500002
  • scopus:41349097452
ISSN
1063-651X
DOI
10.1103/PhysRevE.71.045102
language
English
LU publication?
yes
id
23dc00f5-e0a6-4119-b502-940f49036ebb (old id 241303)
date added to LUP
2007-08-24 13:37:21
date last changed
2017-01-01 06:42:08
@article{23dc00f5-e0a6-4119-b502-940f49036ebb,
  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.},
  author       = {Guhr, Thomas and Kohler, H},
  issn         = {1063-651X},
  language     = {eng},
  number       = {4},
  publisher    = {American Physical Society},
  series       = {Physical Review E},
  title        = {Supersymmetry and models for two kinds of interacting particles},
  url          = {http://dx.doi.org/10.1103/PhysRevE.71.045102},
  volume       = {71},
  year         = {2005},
}