Tensor Operators in Noncommutative Quantum Mechanics

Abstract

Some consequences of promoting the object of noncommutativity ${\theta }^{ij}$ to an operator in Hilbert space are explored. Consequently, a consistent algebra involving the enlarged set of canonical operators is obtained, which permits us to construct theories that are dynamically invariant under the action of the rotation group. In this framework it is also possible to give dynamics to the noncommutativity operator sector, resulting in new features.

11 pages, Latex,typos and references added. Version accepted for publication in Phys. Rev. Letters

References in corpus (4)

• Spectrum of the non-commutative spherical well
• Lorentz Conserving Noncommutative Standard Model
• On general properties of Lorentz invariant formulation of noncommutative quantum field theory
• Noncommutative Field Theory from Quantum Mechanical Space-Space Noncommutativity

Cited by in corpus (1)

• Dynamical symmetries in noncommutative theories