The Kowalewski top in the SUSY quantum mechanics

Abstract

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.

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

References in corpus (1)

• Polynomial SUSY in Quantum Mechanics and Second Derivative Darboux Transformation