Spherical Calogero model with oscillator/Coulomb potential: quantum case
High Energy Physics - Theory
2016-06-15 v1 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
We consider the quantum mechanics of Calogero models in an oscillator or Coulomb potential on the N-dimensional sphere. Their Hamiltonians are obtained by an appropriate Dunkl deformation of the oscillator/Coulomb system on the sphere and its restriction to (Coxeter reflection) symmetric wave functions. By the same method we also find the symmetry generators and compute their algebras.
Cite
@article{arxiv.1604.00027,
title = {Spherical Calogero model with oscillator/Coulomb potential: quantum case},
author = {Francisco Correa and Tigran Hakobyan and Olaf Lechtenfeld and Armen Nersessian},
journal= {arXiv preprint arXiv:1604.00027},
year = {2016}
}
Comments
7 pages, no figures