93 citations · 2.1k across the 117 of their papers we have counts for
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Superintegrable potentials on 3D Riemannian and Lorentzian spaces with non-constant curvature
Angel Ballesteros, Alberto Enciso, Francisco J. Herranz +1
A quantum sl(2,R) coalgebra is shown to underly the construction of a large class of superintegrable potentials on 3D curved spaces, that include the non-constant curvature analogu…
Superintegrability on N-dimensional curved spaces: Central potentials, centrifugal terms and monopoles
Angel Ballesteros, Alberto Enciso, Francisco J. Herranz +1
The N-dimensional Hamiltonian H formed by a curved kinetic term (depending on a function f), a central potential (depending on a function U), a Dirac monopole term, and N centrifug…
Hamiltonian systems admitting a Runge-Lenz vector and an optimal extension of Bertrand's theorem to curved manifolds
Angel Ballesteros, Alberto Enciso, Francisco J. Herranz +1
Bertrand's theorem asserts that any spherically symmetric natural Hamiltonian system in Euclidean 3-space which possesses stable circular orbits and whose bounded trajectories are…