On the dynamical symmetries of the Kepler problem

DOI10.1063/1.524511zbMath0448.58005OpenAlexW2072994097WikidataQ125810326 ScholiaQ125810326MaRDI QIDQ3894680

Yilmaz Akyildiz

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1063/1.524511

zbMATH Keywords

two-body problemperiodicity of geodesic flowSO(n+1,2) action on the Kepler manifold of the n-dimensional hydrogen atom

Mathematics Subject Classification ID

Two-body problems (70F05) Applications of dynamical systems (37N99) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Geodesic flows in symplectic geometry and contact geometry (53D25) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (4)

Quantization of the Kepler manifold ⋮ Geometrical and physical outlook on the cross product of two quaternions ⋮ On a ‘‘conformal’’ Kepler problem and its reduction ⋮ On representations of the groups Sp(n,1) and Sp(n)

Cites Work

• On Macdonald's \(\eta\)-function formula, the Laplacian and generalized exponents
• The Radon transform on Zoll surfaces
• UNITARY REPRESENTATIONS OF NILPOTENT LIE GROUPS
• Unification of the external conformal symmetry group and the internal conformal dynamical group
• Fundamental Solutions of Invariant Differential Operators on Symmetric Spaces
• Regularization of kepler's problem and the averaging method on a manifold
• Representations of semisimple Lie groups. II

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