Spherical Calogero model with oscillator/Coulomb potential: quantum case

@article{Correa2016SphericalCM,
  title={Spherical Calogero model with oscillator/Coulomb potential: quantum case},
  author={Francisco Correa and Tigran Hakobyan and Olaf Lechtenfeld and Armen Nersessian},
  journal={Physical Review D},
  year={2016},
  volume={93},
  pages={125009}
}
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. 
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