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• W1989257171 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 satisfies 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 [S. Hojman, L.C. Shepley, J. Math. Phys. 32 (1991) 142]. We have found the corresponding consistency conditions for the symplectic noncommutative case." @default.
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• W1989257171 date "2006-10-01" @default.
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• W1989257171 title "Equations of motion, noncommutativity and quantization" @default.
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• W1989257171 doi "https://doi.org/10.1016/j.physleta.2006.05.044" @default.
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