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14:30
Runge-Lenz vector and Stark effect in Calogero-Coulomb problem
Armen Nersessian (Yerevan State Univ.)
We show that deformation N-dimensional (Euclidean, spherical and hyperbolic) Coulomb system by the patential of rational Calogero model preserves superintegrability property of Coulomb problem. Then we find explicit expression of the Runge-Lenz vector and symmetry algebra of rational Calogero-Coulomb problem, formulated in terms of Dunkl operators. We find that they are proper deformations of their …
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INFN-LNF Laboratori Nazionali di Frascati