Quantum integrability for the Kovalevsky top

DOI10.1016/S0019-3577(98)80005-0zbMath0939.37037MaRDI QIDQ1279709

G. J. Heckman

Publication date: 28 May 2000

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

zbMATH Keywords

quantum integrabilityGoryachev-Chaplygin topKovalevsky top

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25)

Related Items (3)

Open problems, questions and challenges in finite- dimensional integrable systems ⋮ Compatibility, multi-brackets and integrability of systems of PDEs ⋮ Riemannian manifolds with uniformly bounded eigenfunctions

Cites Work

• Classical and quantum-mechanical systems of Toda lattice type. I
• Three integrable Hamiltonian systems connected with isospectral deformations
• Completely integrable Hamiltonian systems connected with semisimple Lie algebras
• Commuting families of symmetric differential operators
• The Kowalewski top 99 years later: a Lax pair, generalizations and explicit solutions
• Various quantum mechanical aspects of quadratic forms
• Harmonic analysis for certain representations of graded Hecke algebras
• Differential-Difference Operators Associated to Reflection Groups
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