The Kowalewski top: A new Lax representation

DOI10.1063/1.531850zbMath0867.58030arXivsolv-int/9609007OpenAlexW3100183071MaRDI QIDQ2785742

Andreĭ Vladimirovich Tsyganov

Publication date: 21 April 1997

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/solv-int/9609007

zbMATH Keywords

Lax representationToda latticesKowalewski topquadratic \(R\)-matrix structure

Mathematics Subject Classification ID

Free motion of a rigid body (70E15) (S)-matrix theory, etc. in quantum theory (81U20) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items (4)

The Maupertuis Principle and Canonical Transformations of the Extended Phase Space ⋮ Change of the time for the periodic Toda lattices and natural systems on the plane with higher order integrals of motion ⋮ The Kowalewski top in SUSY quantum mechanics. ⋮ Automorphisms of sl(2) and dynamical r-matrices

Cites Work

• Euler equations on finite dimensional Lie algebras arising in physical problems
• Goryachev-Chaplygin top and the inverse scattering method
• The Goryachev-Chaplygin top and the Toda lattice
• Completely integrable systems, Euclidean Lie algebras, and curves
• A special case of Neumann's system and the Kowalewski-Chaplygin-Goryachev top
• Lax representation and new formulae for the Goryachev-Chaplygin top
• Boundary conditions for integrable quantum systems
• Note on Kowalewski's Top in Quantum Mechanics
• Additive deformations of the r-matrix algebras
• Stationary problems for equation of the KdV type and dynamical r-matrices

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