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 A_n _- 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 S_n -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)