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arXiv · 1604.00027

Spherical Calogero model with oscillator/Coulomb potential: quantum case

Francisco Correa·Tigran Hakobyan·Olaf Lechtenfeld·Armen Nersessian
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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.

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Francisco Correa, Tigran Hakobyan, Olaf Lechtenfeld, Armen Nersessian. 2016-03-31. Spherical Calogero model with oscillator/Coulomb potential: quantum case. https://doi.org/10.1103/physrevd.93.125009

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