Tensor Operators in Noncommutative Quantum Mechanics

Details Tensor Operators in Noncommutative Quantum Mechanics Tensor Operators in Noncommutative Quantum Mechanics

2008-04-28

arxiv.org/abs/0804.4400v2

Phys.Rev.Lett.101:081602,2008

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1103/PhysRevLett.101.081602

Some consequences of promoting the object of noncommutativity ${\mathbf \theta}^{ij}$ 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.

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