The Kowalewski top in the SUSY quantum mechanics

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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Details

4 pages, Latex, used a4.sty and AMS fonts; submitted to Phys.Lett.A

Scientific paper

10.1016/S0375-9601(96)00704-9

The Kowalewski top on Lie algebras $o(4)$, $e(3)$ and $o(3,1)$ is embedded in
the SUSY quantum mechanics. In two dimensions we give the new prescription for
construction of the pairs of integrable systems by using a standard SUSY
algebra. At the proposed scheme the Goryachev-Chapligin top is shown to be a
natural partner of the Kowalewski top.

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