Kepler-type dynamical symmetries of long-range monopole interactions

DOI10.1063/1.528862zbMath0712.53032OpenAlexW2026907561MaRDI QIDQ3196943

Bruno Cordani, László Fehér, Peter A. Horvathy

Publication date: 1990

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.528862

zbMATH Keywords

geodesic motionTaub-NUT spaceKepler-type dynamical symmetriesself- dual monopoles

Mathematics Subject Classification ID

Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Applications of local differential geometry to the sciences (53B50) Equations of motion in general relativity and gravitational theory (83C10)

Related Items (9)

Taub-NUT dynamics with a magnetic field ⋮ Reduction of the classical MICZ-Kepler problem to a two-dimensional linear isotropic harmonic oscillator ⋮ Multifold Kepler systems—Dynamical systems all of whose bounded trajectories are closed ⋮ On the orbits of magnetized Kepler problems in dimension \(2k+1\) ⋮ Two classes of dynamical systems all of whose bounded trajectories are closed ⋮ Dynamical and symmetry groups of the \(SU (2)\) Kepler problem ⋮ Curved manifolds with conserved Runge–Lenz vectors ⋮ Hamiltonian systems admitting a Runge-Lenz vector and an optimal extension of Bertrand's theorem to curved manifolds ⋮ On extended Taub-NUT metrics

Cites Work

• Low energy scattering of nonabelian monopoles.
• Conformal regularization of the Kepler problem
• Reduction of symplectic manifolds with symmetry
• Closed geodesics on the space of stable two-monopoles
• The O(3,1) symmetry problem of the charge–monopole interaction
• Kepler problem with a magnetic monopole
• The de Sitter groupL 4,1 and the bound states of hydrogen atom
• Regularization of kepler's problem and the averaging method on a manifold

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