Hamiltonian mechanics

Nambu mechanics

In mathematics, Nambu mechanics is a generalization of Hamiltonian mechanics involving multiple Hamiltonians. Recall that Hamiltonian mechanics is based upon the flows generated by a smooth Hamiltonian over a symplectic manifold. The flows are symplectomorphisms and hence obey Liouville's theorem. This was soon generalized to flows generated by a Hamiltonian over a Poisson manifold. In 1973, Yoichiro Nambu suggested a generalization involving Nambu-Poisson manifolds with more than one Hamiltonian. (Wikipedia).

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Related pages

Conserved quantity | Mathematics | Phase space | Poisson algebra | Symplectic manifold | Hamiltonian mechanics | Integrable system | Liouville's theorem (Hamiltonian) | Superintegrable Hamiltonian system | Hamiltonian fluid mechanics | Poisson manifold | Quantization (physics) | Symplectomorphism