The Universal Kepler Problem

Details The Universal Kepler Problem The Universal Kepler Problem

2010-11-30

arxiv.org/abs/1011.6609v4

Physics

Mathematical Physics

7 pages

Scientific paper

For each simple euclidean Jordan algebra, the analogues of hamiltonian, angular momentum and Lenz vector in the Kepler problem are introduced. The analogue of hidden symmetry algebra generated by hamiltonian, angular momentum and Lenz vector is also derived. Finally, for the simplest simple euclidean Jordan algebra, i.e., $\bb R$, we demonstrate how to get generalized Kepler problems by combining with the quantizations of the TKK algebra.

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