A generalization of the Kepler problem

Journal Article · Thu May 15 04:00:00 EDT 2008 · Physics of Atomic Nuclei

DOI:https://doi.org/10.1134/S1063778808050256· OSTI ID:21402572

Meng, G ^[1]

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1. Hong Kong University of Science and Technology, Department of Mathematics (Hong Kong)

A generalization of the Kepler problem is constructed and analyzed. These generalized Kepler problems are parametrized by a triple (D, {kappa}, {mu}), where the dimension D is an integer {>=}3, the curvature {kappa} is a real number, and the magnetic charge {mu} is a half-integer if D is odd and zero or half if D is even. The key to constructing these generalized Kepler problems is the observation that the Young powers of the fundamental spinors on a punctured space with cylindrical metric are the right analogs of the Dirac monopoles.

• OSTI ID: 21402572
• Journal Information: Physics of Atomic Nuclei, Journal Name: Physics of Atomic Nuclei Journal Issue: 5 Vol. 71; ISSN 1063-7788; ISSN PANUEO
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICS AND COMPUTING
COORDINATES
CURVILINEAR COORDINATES
ELEMENTARY PARTICLES
MAGNETIC MONOPOLES
MANY-BODY PROBLEM
METRICS
MONOPOLES
POSTULATED PARTICLES
SPINORS
TWO-BODY PROBLEM