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A generalization of the Kepler problem

Authors Meng, G. View this author's profile
Issue Date 2008
Source Physics of atomic nuclei , v. 71, (5), 2008, MAY, p. 946-950
Summary 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.
ISSN 1063-7788
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Language English
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