English

Tensor Operators in Noncommutative Quantum Mechanics

High Energy Physics - Theory 2008-11-26 v2

Abstract

Some consequences of promoting the object of noncommutativity θij{\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.

Keywords

Cite

@article{arxiv.0804.4400,
  title  = {Tensor Operators in Noncommutative Quantum Mechanics},
  author = {Ricardo Amorim},
  journal= {arXiv preprint arXiv:0804.4400},
  year   = {2008}
}

Comments

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

R2 v1 2026-06-21T10:35:11.664Z