On the trajectories of \(\mathrm{Sp}(1)\)-Kepler problems

DOI10.1016/J.GEOMPHYS.2015.06.013zbMath1323.70072OpenAlexW1133376761WikidataQ60132200 ScholiaQ60132200MaRDI QIDQ492901

Guowu Meng

Publication date: 21 August 2015

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2015.06.013

zbMATH Keywords

Kepler problemEuclidean Jordan algebraSternberg phase spacesuper integrable models

Mathematics Subject Classification ID

Two-body problems (70F05) (n)-body problems (70F10)

Related Items (1)

The classical dynamic symmetry for the Sp(1)-Kepler problems

Cites Work

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• The universal Kepler problem
• The geometry of the SU(2) Kepler problem
• On the Trajectories of U(1)-Kepler Problems
• Euclidean Jordan algebras, hidden actions, and J-Kepler problems
• Lorentz group and oriented McIntosh-Cisneros-Zwanziger-Kepler orbits
• The Sp(1)-Kepler problems
• On a ‘‘conformal’’ Kepler problem and its reduction
• Minimal coupling and the symplectic mechanics of a classical particle in the presence of a Yang-Mills field
• Tulczyjew’s approach for particles in gauge fields
• On the trajectories of O(1)-Kepler problems
• Generalized Kepler problems. I. Without magnetic charges
• Perturbation theory of Kepler motion based on spinor regularization.

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