Equations of motion, Noncommutativity and Quantization
arXiv:hep-th/0605156 · doi:10.1016/j.physleta.2006.05.044
Abstract
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.
18 pages, to appear PLA
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- DSR and Canonical Transformations: A Comment on a ``A Lagrangian for DSR particle and the role of noncommutativity''
- Perturbed nonlinear models from Noncommutativity
- Comment on ''A path integral leading to higher-order Lagrangians, arXiv:0708.4351 [hep-th]''