Spinor regularization of the \(n\)-dimensional Kepler problem

DOI10.1007/BF00570771zbMath0644.58029OpenAlexW2321822888MaRDI QIDQ1102603

Bruno Cardani, Cesare Reina

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1007/bf00570771

zbMATH Keywords

Clifford algebraKustaanheimo-Stiefel regularization for the Kepler problem

Mathematics Subject Classification ID

Applications of global analysis to the sciences (58Z05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Clifford algebras, spinors (15A66) Hamiltonian and Lagrangian mechanics (70H99)

Related Items

Generalized Kustaanheimo-Stiefel transformations ⋮ Perturbed \((2n - 1)\)-dimensional Kepler problem and the nilpotent adjoint orbits of \(\operatorname{U}(n, n)\) ⋮ Remarks on the geometric quantization of the Kepler problem ⋮ Dynamical and symmetry groups of the \(SU (2)\) Kepler problem ⋮ REDUCTION AND UNFOLDING FOR QUANTUM SYSTEMS: THE HYDROGEN ATOM ⋮ REDUCTION AND UNFOLDING: THE KEPLER PROBLEM

Cites Work

• Conformal regularization of the Kepler problem
• Perturbation theory of Kepler motion based on spinor regularization.
• Regularization of kepler's problem and the averaging method on a manifold
• On the regularization of the Kepler problem
• Unnamed Item

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