Journal of Geometry and Symmetry in Physics

The Classical Magnetized Kepler Problems in Higher Odd Dimensions

Guowu Meng

Full-text: Open access

Abstract

The Kepler problem for planetary motion is a two-body dynamic model with an attractive force obeying the inverse square law, and has a direct analogue in any dimension. While the magnetized Kepler problems were discovered in the late 1960s, it is not clear until recently that their higher dimensional analogues can exist at all. Here we present a possible route leading to the discovery of these high dimensional magnetized models.

Article information

Source
J. Geom. Symmetry Phys., Volume 32 (2013), 15-23.

Dates
First available in Project Euclid: 26 May 2017

Permanent link to this document
https://projecteuclid.org/euclid.jgsp/1495764026

Digital Object Identifier
doi:10.7546/jgsp-32-2013-15-23

Mathematical Reviews number (MathSciNet)
MR3135426

Zentralblatt MATH identifier
1302.70023

Citation

Meng, Guowu. The Classical Magnetized Kepler Problems in Higher Odd Dimensions. J. Geom. Symmetry Phys. 32 (2013), 15--23. doi:10.7546/jgsp-32-2013-15-23. https://projecteuclid.org/euclid.jgsp/1495764026


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