Spherical Calogero model with oscillator/Coulomb potential: classical   case
  We construct the Hamiltonians and symmetry generators of Calogero-oscillator and Calogero-Coulomb models on the N-dimensional sphere within the matrix-model reduction approach. Our method also produces the integrable Calogero-Coulomb-Stark model on the sphere and proves the integrability of the spin extensions of all these systems. 
Francisco Correa, Tigran Hakobyan, Olaf Lechtenfeld, Armen Nersessian
hep-th math-ph math.MP nlin.SI