We give an explicit and concise formula for higher degree polynomial first integrals of a family of Calogero-type Hamiltonian systems in dimension three. These first integrals, together with the already known ones, prove the maximal superintegrability of the systems. (C) 2011 American Institute of Physics. [doi: 10.1063/1.3559132]
Degiovanni, L., Rastelli, G., Chanu, C. (2011). Polynomial constants of motion for Calogero-type systems in three dimensions. JOURNAL OF MATHEMATICAL PHYSICS, 52(3), 032903-032909 [10.1063/1.3559132].
Polynomial constants of motion for Calogero-type systems in three dimensions
CHANU, CLAUDIA MARIA
2011
Abstract
We give an explicit and concise formula for higher degree polynomial first integrals of a family of Calogero-type Hamiltonian systems in dimension three. These first integrals, together with the already known ones, prove the maximal superintegrability of the systems. (C) 2011 American Institute of Physics. [doi: 10.1063/1.3559132]
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