Tensor Coordinates in Noncommutative Mechanics

Abstract

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 ${\theta }^{ij}$ plays a fundamental rule as an independent quantity. The presented classical theory, as its quantum counterpart, is naturally invariant under the rotation group $SO(D)$.

12 pages, Latex

References in corpus (5)

• Spectrum of the non-commutative spherical well
• Lorentz Conserving Noncommutative Standard Model
• Tensor Operators in Noncommutative Quantum Mechanics
• Dynamical symmetries in noncommutative theories
• On general properties of Lorentz invariant formulation of noncommutative quantum field theory