Publications at the Riemann Center
The tetrahexahedric angular Calogero model
- authored by
- F. Correa, O. Lechtenfeld
- 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.
- Organisation(s)
-
Institut für Theoretische Physik
Riemann Center for Geometry and Physics
- External Organisation(s)
-
Universidad Austral de Chile
- Type
- Konferenzaufsatz in Fachzeitschrift
- Journal
- Journal of Physics: Conference Series
- Volume
- 804
- ISSN
- 1742-6588
- Publication date
- 04.04.2017
- Publication status
- Veröffentlicht
- Peer reviewed
- Yes
- ASJC Scopus Sachgebiete
- Physik und Astronomie (insg.)
- Electronic version(s)
-
https://doi.org/10.1088/1742-6596/804/1/012011 (Access:
Offen)
