Spherical Calogero model with oscillator/Coulomb potential: quantum case
  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. 
Francisco Correa, Tigran Hakobyan, Olaf Lechtenfeld, Armen Nersessian
hep-th math-ph math.MP nlin.SI