Publications at the Riemann Center
The tetrahexahedric angular Calogero model
Abstract
We investigate the spherical reduction of the rational An - 1 Calogero model. It defines a quantum superintegrable model of a particle trapped in one of n! spherical (n-2)-simplices on S n-2 in a special Sn -symmetric potential. The energy levels (including degeneracy) and eigenstates are given, and the construction of conserved charges and Hamiltonian intertwiners outlined. We describe superintegrable complex PT deformations which remove the trapping walls and in some cases create a 2-graded ("supersymmetric") extension of the spectrum. Details are worked out for the cases of n=3 and n=4.
Details
- Organisation(s)
-
Institute of Theoretical Physics
Riemann Center for Geometry and Physics
- External Organisation(s)
-
Universidad Austral de Chile
- Type
- Conference article
- Journal
- Journal of Physics: Conference Series
- Volume
- 804
- ISSN
- 1742-6588
- Publication date
- 04.04.2017
- Publication status
- Published
- Peer reviewed
- Yes
- ASJC Scopus subject areas
- General Physics and Astronomy
- Electronic version(s)
-
https://doi.org/10.1088/1742-6596/804/1/012011 (Access:
Open
)
