Integrable and superintegrable Hamiltonian systems with four dimensional real Lie algebras as symmetry of the systems

DOI10.1063/1.4875155zbMath1338.70022arXiv1401.2533OpenAlexW3106222654MaRDI QIDQ5171371

A. Rezaei-Aghdam, J. Abedi-Fardad, Ghorbanali Haghighatdoost

Publication date: 26 July 2014

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

Full work available at URL: https://arxiv.org/abs/1401.2533

Mathematics Subject Classification ID

Applications of Lie algebras and superalgebras to integrable systems (17B80) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65)

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Some bi-Hamiltonian Systems and their Separation of Variables on 4-dimensional Real Lie Groups ⋮ Nambu structures on four-dimensional real Lie groups and related superintegrable systems ⋮ Integrable bi-Hamiltonian systems by Jacobi structure on real three-dimensional Lie groups ⋮ Invariant Poisson–Nijenhuis structures on Lie groups and classification ⋮ Classification of four-dimensional real Lie bialgebras of symplectic type and their Poisson-Lie groups

Cites Work

• Unnamed Item
• Four dimensional symplectic Lie algebras
• Classical and quantum superintegrability with applications
• (4+1)-DIMENSIONAL HOMOGENEOUS ANISOTROPIC STRING COSMOLOGICAL MODELS
• Complex and bi-Hermitian structures on four-dimensional real Lie algebras
• Invariants of real low dimension Lie algebras
• Realizations of real low-dimensional Lie algebras
• Integrable Hamiltonian systems on low-dimensional Lie algebras