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

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Cited by in corpus (29)

• Composite system in rotationally invariant noncommutative phase space
• Hydrogen atom in rotationally invariant noncommutative space
• Dynamical symmetries in noncommutative theories
• Effect of noncommutativity on the spectrum of free particle and harmonic oscillator in rotationally invariant noncommutative phase space
• Noncommutative relativistic particles
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• Quantum complex scalar fields and noncommutativity
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• Some aspects of quantum mechanics and field theory in a Lorentz invariant noncommutative space
• The Noncommutative Doplicher-Fredenhagen-Roberts-Amorim Space
• Analytical and numerical analysis of a rotational invariant D=2 harmonic oscillator in the light of different noncommutative phase-space configurations
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