Superintegrable families of magnetic monopoles with non-radial potential in curved background

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) (37J39)

Cites Work

An exactly solvable deformation of the Coulomb problem associated with the Taub-NUT metric
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Superintegrable and scale-invariant quantum systems with position-dependent Mass
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Quadratic algebra for superintegrable monopole system in a Taub-NUT space
Infinite families of superintegrable systems separable in subgroup coordinates
Three-dimensional superintegrable systems in a static electromagnetic field
An infinite family of superintegrable deformations of the Coulomb potential
The four-dimensional conformal Kepler problem reduces to the three-dimensional Kepler problem with a centrifugal potential and Dirac’s monopole field. Classical theory
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Superintegrability on the three-dimensional spaces with curvature. Oscillator-related and Kepler-related systems on the sphere S ³ and on the hyperbolic space H ³
On higher-dimensional superintegrable systems: a new family of classical and quantum Hamiltonian models

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