NAMBU BRACKETS WITH CONSTRAINT FUNCTIONALS

DOI10.1142/S0217751X06028503zbMath1103.70008arXivmath-ph/0603036MaRDI QIDQ5468956

A. Teğmen

Publication date: 3 May 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/0603036

zbMATH Keywords

Poisson bracketHamiltonian systemconstants of motion

Mathematics Subject Classification ID

Hamilton's equations (70H05) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45)

Related Items (1)

Algebraic derivation of the energy eigenvalues for the quantum oscillator defined on the sphere and the hyperbolic plane

Cites Work

• Unnamed Item
• On foundation of the generalized Nambu mechanics
• Constrained systems described by Nambu mechanics
• Dynamical symmetries and Nambu mechanics
• Quadratic Poisson algebras of two-dimensional classical superintegrable systems and quadratic associative algebras of quantum superintegrable systems
• SUPERINTEGRABLE SYSTEMS, MULTI-HAMILTONIAN STRUCTURES AND NAMBU MECHANICS IN AN ARBITRARY DIMENSION
• Generalized Hamiltonian Dynamics

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