On a ‘‘conformal’’ Kepler problem and its reduction
- 1 August 1981
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 22 (8) , 1633-1639
- https://doi.org/10.1063/1.525105
Abstract
A ’’conformal’’ Kepler problem is defined in order to associate the Kepler problem with the harmonic oscillator. The four-dimensional conformal Kepler problem which shares an energy surface with the four-dimensional harmonic oscillator reduces to the ordinary three-dimensional Kepler problem. By use of the reduction the symmetry group SO(4) of the Kepler problem is brought out from a symmetry subgroup SU(2)×SU(2) of the conformal Kepler problem; the subgroup is the same as a subgroup of the symmetry group SU(4) of the harmonic oscillator.Keywords
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