Generalized Kepler problems. I. Without magnetic charges

DOI10.1063/1.4775343zbMath1280.81077arXiv1104.2585OpenAlexW2023472923WikidataQ60132228 ScholiaQ60132228MaRDI QIDQ5396254

Guowu Meng

Publication date: 5 February 2014

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

Full work available at URL: https://arxiv.org/abs/1104.2585

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Applications of Lie groups to the sciences; explicit representations (22E70) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Relativistic dynamics for problems in Hamiltonian and Lagrangian mechanics (70H40) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Celestial mechanics (70F15) Jordan structures on Banach spaces and algebras (17C65) Associated groups, automorphisms of Jordan algebras (17C30)

Related Items (8)

On the orbits of magnetized Kepler problems in dimension \(2k+1\) ⋮ The classical dynamic symmetry for the Sp(1)-Kepler problems ⋮ Periodic orbits of the planar anisotropic generalized Kepler problem ⋮ Perturbed \((2n - 1)\)-dimensional Kepler problem and the nilpotent adjoint orbits of \(\operatorname{U}(n, n)\) ⋮ On the trajectories of \(\mathrm{Sp}(1)\)-Kepler problems ⋮ The classical dynamic symmetry for the \(\mathrm{U}(1)\)-Kepler problems ⋮ Particle motion in generalized Dirac’s monopoles of dimension 2k + 1 ⋮ On the trajectories of O(1)-Kepler problems

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