Equations of motion, Noncommutativity and Quantization

Details Equations of motion, Noncommutativity and Quantization Equations of motion, Noncommutativity and Quantization

2006-05-16

arxiv.org/abs/hep-th/0605156v1

Phys.Lett.A358:327-333,2006

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, to appear PLA

Scientific paper

10.1016/j.physleta.2006.05.044

We study the relation between a given set of equations of motion in configuration space and a Poisson bracket. A Poisson structure is consistent with the equations of motion if the symplectic form satisfy some consistency conditions. When the symplectic structure is commutative these conditions are the Helmholtz integrability equations for the nonrestricted inverse problem of the calculus of variations. We have found the corresponding consistency conditions for the symplectic noncommutative case.

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