On the orbits of magnetized Kepler problems in dimension \(2k+1\)

DOI10.1016/j.geomphys.2013.06.012zbMath1331.70023arXiv1302.7271OpenAlexW1537938443WikidataQ60132236 ScholiaQ60132236MaRDI QIDQ390977

Guowu Meng, Erxiao Wang, Zhan Qiang Bai

Publication date: 9 January 2014

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

Full work available at URL: https://arxiv.org/abs/1302.7271

zbMATH Keywords

angular momentumLorentz groupLenz vectorMICZ-Kepler orbit

Mathematics Subject Classification ID

Two-body problems (70F05) Dynamical systems in classical and celestial mechanics (37N05) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65)

Related Items

Particle motion in generalized Dirac’s monopoles of dimension 2k + 1, Exact analytical solutions of the Schrödinger equation for the nine-dimensional MICZ-Kepler problem, Hamilton-Dirac systems for charged particles in gauge fields

Cites Work

• The universal Kepler problem
• The geometry of the SU(2) Kepler problem
• Canonical formulations of a classical particle in a Yang-Mills field and Wong's equations
• A universal phase space for particles in Yang-Mills fields
• Green’s function for the five-dimensional SU(2) MIC–Kepler problem
• Lorentz group and oriented McIntosh-Cisneros-Zwanziger-Kepler orbits
• Kepler-type dynamical symmetries of long-range monopole interactions
• MICZ-Kepler problems in all dimensions
• The four-dimensional conformal Kepler problem reduces to the three-dimensional Kepler problem with a centrifugal potential and Dirac’s monopole field. Classical theory
• Minimal coupling and the symplectic mechanics of a classical particle in the presence of a Yang-Mills field
• Reduction in stages and complete quantization of the MIC-Kepler problem
• Generalized Kepler problems. I. Without magnetic charges