A Generalization of the Kepler Problem
Meng, Guowu
arXiv, 0509002 / Harvested from arXiv
Text on arXiv
We construct and analyze a generalization of the Kepler problem. These generalized Kepler problems are parameterized by a triple $(D, \kappa, \mu)$ where the dimension $D\ge 3$ is an integer, the curvature $\kappa$ is a real number, the magnetic charge $\mu$ 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.
Publié le : 2005-09-01
Classification:  Mathematical Physics 
@article{0509002,
     author = {Meng, Guowu},
     title = {A Generalization of the Kepler Problem},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0509002}
}

Meng, Guowu. A Generalization of the Kepler Problem. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0509002/