Publications at the Riemann Center
The tetrahexahedric angular Calogero model
Abstract
Abstract: The spherical reduction of the rational Calogero model (of type An−1 and after removing the center of mass) is considered as a maximally superintegrable quantum system, which describes a particle on the (n−2)-sphere subject to a very particular potential. We present a detailed analysis of the simplest non-separable case, n=4, whose potential is singular at the edges of a spherical tetrahexahedron. A complete set of independent conserved charges and of Hamiltonian intertwiners is constructed, and their algebra is elucidated. They arise from the ring of polynomials in Dunkl-deformed angular momenta, by classifying the subspaces invariant and antiinvariant under all Weyl reflections, respectively.
Details
- Organisation(s)
-
Institute of Theoretical Physics
Riemann Center for Geometry and Physics
- External Organisation(s)
-
Centro de Estudios Científicos (CECs)
- Type
- Article
- Journal
- Journal of high energy physics
- Volume
- 2015
- ISSN
- 1126-6708
- Publication date
- 01.10.2015
- Publication status
- Published
- Peer reviewed
- Yes
- ASJC Scopus subject areas
- Nuclear and High Energy Physics
- Electronic version(s)
-
https://doi.org/10.1007/JHEP10(2015)191 (Access:
Open
)
