The Kowalewski top in the SUSY quantum mechanics
A.V. Tsiganov (St.Petersburg University)
TL;DR
This paper explores the embedding of the Kowalewski top into supersymmetric quantum mechanics, introducing a new method for constructing integrable systems and identifying the Goryachev-Chapligin top as a partner to the Kowalewski top.
Contribution
It presents a novel scheme for constructing integrable systems using SUSY algebra and establishes a connection between two classical tops within this framework.
Findings
Kowalewski top embedded in SUSY quantum mechanics on various Lie algebras
New prescription for integrable system construction in 2D using SUSY algebra
Goryachev-Chapligin top identified as a partner to the Kowalewski top
Abstract
The Kowalewski top on Lie algebras , and 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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