The tetrahexahedric angular Calogero model

24th International Conference on Integrable Systems and Quantum symmetries

Correa, F.^1 ; Lechtenfeld, O.^2

Instituto de Ciencias Fisicas y Matemáticas, Universidad Austral de Chile, Casilla, Valdivia

567, Chile^1

Institut für Theoretische Physik, Riemann Center for Geometry and Physics, Leibniz Universitat Hannover, Germany^2

关键词: A-particles;    Calogero model;    Eigenstates;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/804/1/012011/pdf
DOI  :  10.1088/1742-6596/804/1/012011

来源: IOP

【 摘 要 】

We investigate the spherical reduction of the rational An-1Calogero model. It defines a quantum superintegrable model of a particle trapped in one of n! spherical (n-2)-simplices on Sn-2in 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 a2-graded ("supersymmetric") extension of the spectrum. Details are worked out for the cases of n=3 and n=4.