Integrability of Calogero–Coulomb problems
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- Hakobyan, T. & Nersessian, A. Phys. Part. Nuclei Lett. (2017) 14: 331. doi:10.1134/S1547477117020133
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In this short review we describe the integrability properties of the Calogero-type perturbations of one- and two-center Coulomb problems and of the Stark–Coulomb problem. We present the explicit expressions of their constants of motion and show that these systems admit partial separation of variables.