MICZ-Kepler problems in all dimensions
نویسندگان
چکیده
منابع مشابه
MICZ-Kepler problems in all dimensions
The Kepler problem is a physical problem about two bodies which attract each other by a force proportional to the inverse square of the distance. The MICZ-Kepler problems are its natural cousins and have been previously generalized from dimension three to dimension five. In this paper, we construct and analyze the (quantum) MICZ-Kepler problems in all dimensions higher than two.
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The Kepler problem is perhaps the most well-known physics problem in the last three centuries. The MICZ-Kepler problems are its natural cousins. While the Kepler problem exists obviously in high dimensions, only the 5-dimensional analogues of the MICZ-Kepler problems were discovered previously. In this paper, we demonstrate that the quantum MICZ-Kepler problems do exist in all dimensions greate...
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ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 2007
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.2712420