The MICZ-Kepler Problems in All Dimensions

Physics – Mathematical Physics

Scientific paper

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A minor technical error in section 5.2 (see footnote 6) is corrected

Scientific paper

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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