A Modification of Nambu’s Mechanics
نویسنده
چکیده
The Poisson, contact and Nambu brackets define algebraic structures on C∞(M) satisfying the Jacobi identity or its generalization. The automorphism groups of these brackets are the symplectic, contact and volume preserving diffeomorphism groups. We introduce a modification of the Nambu bracket, which define an evolution equation generating the whole diffeomorphism group. The relation between the modified and usual Nambu brackets is similar to the relation between the Poisson and contact structures. We briefly discuss the problem of quantization of the modified bracket.
منابع مشابه
A Realization of Nambu Mechanics: a Particle - Interacting with an Su(2) Monopole*
We study the system of a particle bearing the isospindegrees of freedom interacting with an SU(2) ‘t Hooft-‘Polyakov monopole. We show that its equation of motion can be cast into the form of Nambu’s generalized mechanics. (Submitted to Phys. Rev. ) Comments and Addenda *Work supported in part by the Energy Research and Development Administration. tPermanent address.
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