Proceedings of the International Conference on Geometry, Integrability and Quantization

Magnetized Kepler Problems in Higher Odd Dimensions

Guowu Meng

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
Proceedings of the Fifteenth International Conference on Geometry, Integrability and Quantization, Ivaïlo M. Mladenov, Andrei Ludu and Akira Yoshioka, eds. (Sofia: Avangard Prima, 2014), 196-203

Dates
First available in Project Euclid: 13 July 2015

Permanent link to this document
https://projecteuclid.org/ euclid.pgiq/1436815711

Digital Object Identifier
doi:10.7546/giq-15-2015-196-203

Mathematical Reviews number (MathSciNet)
MR3287758

Zentralblatt MATH identifier
1311.70022

Citation

Meng, Guowu. Magnetized Kepler Problems in Higher Odd Dimensions. Proceedings of the Fifteenth International Conference on Geometry, Integrability and Quantization, 196--203, Avangard Prima, Sofia, Bulgaria, 2014. doi:10.7546/giq-15-2015-196-203. https://projecteuclid.org/euclid.pgiq/1436815711


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