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MICZ-Kepler = dynamics on the cone over the rotation group | | Richard Montgomery
; | | Date: |
6 May 2013 | | Abstract: | We show that the n-dimensional MICZ-Kepler system arises from symplectic
reduction of a simple mechanical system on the cone over the rotation group
SO(n). As a corollary we derive an elementary formula for its general solution.
The punch-line of our computation is that the additional MICZ-Kepler
$|phi|^2/r^2$ type potential term is the rotational part of the cone’s kinetic
energy. | | Source: | arXiv, 1305.1063 | | Services: | Forum | Review | PDF | Favorites | |
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