Abstract
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.
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Hakobyan, T., Nersessian, A. Integrability of Calogero–Coulomb problems. Phys. Part. Nuclei Lett. 14, 331–335 (2017). https://doi.org/10.1134/S1547477117020133
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DOI: https://doi.org/10.1134/S1547477117020133