Two-Photon Algebra and Integrable Hamiltonian Systems

DOI10.2991/jnmp.2001.8.s.4zbMath0989.81042OpenAlexW4214643743MaRDI QIDQ2732446

Ángel Ballesteros, Francisco J. Herranz

Publication date: 29 October 2001

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

Full work available at URL: https://doi.org/10.2991/jnmp.2001.8.s.4

zbMATH Keywords

constants of the motion in involution

Mathematics Subject Classification ID

Quantum optics (81V80) Groups and algebras in quantum theory and relations with integrable systems (81R12) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)

Related Items (3)

Construction of polynomial algebras from intermediate Casimir invariants of Lie algebras ⋮ Coalgebra symmetry for discrete systems ⋮ Integrable perturbations of the \(N\)-dimensional isotropic oscillator

Cites Work

• Unnamed Item
• \(N\)-dimensional classical integrable systems from Hopf algebras
• An integrable Hamiltonian system
• A systematic construction of completely integrable Hamiltonians from coalgebras
• Integrable deformations of oscillator chains from quantum algebras

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