A Generalization of the Kepler Problem
نویسنده
چکیده
We construct and analyze a generalization of the Kepler problem. These generalized Kepler problems are parameterized by a triple (D, κ, μ) where the dimension D ≥ 3 is an integer, the curvature κ is a real number, the magnetic charge μ is a half integer if D is odd and is 0 or 1/2 if D is even. The key to construct 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 analogues of the Dirac monopoles.
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تاریخ انتشار 2008