English

The Kowalewski top in the SUSY quantum mechanics

High Energy Physics - Theory 2009-10-30 v1

Abstract

The Kowalewski top on Lie algebras o(4)o(4), e(3)e(3) and o(3,1)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.

Keywords

Cite

@article{arxiv.hep-th/9606126,
  title  = {The Kowalewski top in the SUSY quantum mechanics},
  author = {A. V. Tsiganov},
  journal= {arXiv preprint arXiv:hep-th/9606126},
  year   = {2009}
}

Comments

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