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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.
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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
  • pmid:15903713
ISSN
1063-651X
DOI
10.1103/PhysRevE.71.045102
language
English
LU publication?
yes
additional info
The information about affiliations in this record was updated in December 2015. The record was previously connected to the following departments: Mathematical Physics (Faculty of Technology) (011040002)
id
23dc00f5-e0a6-4119-b502-940f49036ebb (old id 241303)
date added to LUP
2016-04-01 15:33:44
date last changed
2022-02-05 01:54:47
@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}},
  doi          = {{10.1103/PhysRevE.71.045102}},
  volume       = {{71}},
  year         = {{2005}},
}