The U(1)-Kepler Problems

DOI10.1063/1.3527268zbMath1314.81076arXiv0805.0833OpenAlexW3098627538WikidataQ60132286 ScholiaQ60132286MaRDI QIDQ5255466

Guowu Meng

Publication date: 15 June 2015

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

Full work available at URL: https://arxiv.org/abs/0805.0833

Mathematics Subject Classification ID

Two-body problems (70F05) Groups and algebras in quantum theory and relations with integrable systems (81R12) Finite-dimensional groups and algebras motivated by physics and their representations (81R05)

Related Items (3)

The classical dynamic symmetry for the Sp(1)-Kepler problems ⋮ Particle motion in generalized Dirac’s monopoles of dimension 2k + 1 ⋮ Euclidean Jordan algebras, hidden actions, and J-Kepler problems

Cites Work

• MICZ-Kepler problems in all dimensions
• Generalized MICZ-Kepler problems and unitary highest weight modules, II
• The four-dimensional conformal Kepler problem reduces to the three-dimensional Kepler problem with a centrifugal potential and Dirac’s monopole field. Classical theory
• Geometric quantisation of the MIC-Kepler problem
• Geometric construction of the quantum Hall effect in all even dimensions
• The O(1)-Kepler problems

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