The tetrahexahedric angular Calogero model

authored by

Francisco Correa, Olaf Lechtenfeld

Abstract

Abstract: The spherical reduction of the rational Calogero model (of type A_n−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.

Organisation(s)

Institut für Theoretische Physik
Riemann Center for Geometry and Physics

External Organisation(s)

Centro de Estudios Científicos (CECs)

Type

Artikel

Journal

Journal of high energy physics

Volume

2015

ISSN

1126-6708

Publication date

01.10.2015

Publication status

Veröffentlicht

Peer reviewed

Yes

ASJC Scopus Sachgebiete

Kern- und Hochenergiephysik

Electronic version(s)

https://doi.org/10.1007/JHEP10(2015)191 (Access: Offen)