DIRECT HAMILTONIZATION FOR NAMBU SYSTEMS

What is it about?

The direct hamiltonization procedure applied to Nambu mechanical systems proves that the Nambu mechanics is an usual mechanics described by only one Hamiltonian. Thus a particular case of Hamiltonian mechanics. It is also proved that any dynamical system described by the equation ˙\vec r = \vec A(\vec r) is a Nambu system. Palavras-chave: Direct hamiltonization, Nambu mechanics, rigid rotor.

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Why is it important?

Direct Hamiltonization is the generalization of the alternative one. These procedure gives a new foundationto Hamiltonian Analytical Mechanics where is proved that the usual Hamiltonian is obtained as an envelope solution and the usual momenta that was defined by Hamilton is a consequence of this condition.