THE MARSDEN–WEINSTEIN REDUCTION STRUCTURE OF INTEGRABLE DYNAMICAL SYSTEMS AND A GENERALIZED EXACTLY SOLVABLE QUANTUM SUPERRADIANCE MODEL

DOI10.1142/S0217979213500021zbMath1270.37041arXiv1210.1744MaRDI QIDQ2839968

Yarema A. Prykarpatsky, Nikolai N. jun. Bogoliubov

Publication date: 17 July 2013

Published in: International Journal of Modern Physics B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.1744

zbMATH Keywords

dynamical systemsintegrability\(R\)-matrixMarsden-Weinstein reduction

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Groups and algebras in quantum theory and relations with integrable systems (81R12) Bethe-Salpeter and other integral equations arising in quantum theory (81Q40)

Cites Work

• Integrable Hamiltonian systems connected with graded Lie algebras
• What is a classical r-matrix?
• Reduction of Hamiltonian systems, affine Lie algebra, and Lax equations. II
• Reduction of Hamiltonian systems, affine Lie algebras and Lax equations
• Generating equation for \(r\)-matrices related to dynamical systems of Calogero type.
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