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Spherical Calogero model with oscillator/Coulomb potential: classical case

We construct the Hamiltonians and symmetry generators of Calogero-oscillator and Calogero-Coulomb models on the N-dimensional sphere within the matrix-model reduction approach. Our method also produces the integrable Calogero-Coulomb-Stark model on the sphere and proves the integrability of the spin extensions of all these systems.

preprint2016arXivOpen access
Francisco CorreaTigran HakobyanOlaf LechtenfeldArmen Nersessian
math-phmath.MPnlin.SIhep-th
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Francisco CorreaTigran HakobyanOlaf LechtenfeldArmen Nersessian

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