Tensor Coordinates in Noncommutative Mechanics

Details Tensor Coordinates in Noncommutative Mechanics Tensor Coordinates in Noncommutative Mechanics

2008-04-28

arxiv.org/abs/0804.4405v1

J.Math.Phys.50:052103,2009

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, Latex

Scientific paper

10.1063/1.3119005

A consistent classical mechanics formulation is presented in such a way that, under quantization, it gives a noncommutative quantum theory with interesting new features. The Dirac formalism for constrained Hamiltonian systems is strongly used, and the object of noncommutativity ${\mathbf \theta}^{ij}$ plays a fundamental rule as an independent quantity. The presented classical theory, as its quantum counterpart, is naturally invariant under the rotation group $SO(D)$.

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