SUPERINTEGRABLE SYSTEMS, MULTI-HAMILTONIAN STRUCTURES AND NAMBU MECHANICS IN AN ARBITRARY DIMENSION

DOI10.1142/S0217751X04017112zbMath1080.37579arXivmath-ph/0212070MaRDI QIDQ3370220

A. Teğmen, A. Verçin

Publication date: 7 February 2006

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

Full work available at URL: https://arxiv.org/abs/math-ph/0212070

zbMATH Keywords

superintegrable systemsmulti-Hamiltonian structuresnambu mechanics

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06)

Related Items (10)

A 3-Lie algebra and the dKP Hierarchy ⋮ In-phase and anti-phase synchronization in an active Nambu mechanics system ⋮ A Fokker-Planck approach to canonical-dissipative Nambu systems: With an application to human motor control during dynamic haptic perception ⋮ Nambu-Lie 3-algebras on fuzzy 3-manifolds ⋮ Nonlinear coherent states of the Fokas-Lagerstrom potential ⋮ Polyrhythmic multifrequency synchronization in coupled oscillators with exactly solvable attractors ⋮ NAMBU BRACKETS WITH CONSTRAINT FUNCTIONALS ⋮ On generalized Lax equation of the Lax triple of KP Hierarchy ⋮ On integrals, Hamiltonian and metriplectic formulations of polynomial systems in 3D ⋮ Branes, Quantum Nambu Brackets and the Hydrogen Atom

Cites Work

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• Quadratic Poisson algebras of two-dimensional classical superintegrable systems and quadratic associative algebras of quantum superintegrable systems
• Dynamics of generalized Poisson and Nambu–Poisson brackets
• Reductions of self-dual Yang-Mills fields and classical systems
• Geometric quantum mechanics
• Super-integrable Calogero-type systems admit maximal number of Poisson structures

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