On Quantum Mechanics on Noncommutative Quantum Phase Space

@article{Djema2003OnQM,
  title={On Quantum Mechanics on Noncommutative Quantum Phase Space},
  author={A Djema{\"i} and H. Smail},
  journal={Communications in Theoretical Physics},
  year={2003},
  volume={41},
  pages={837 - 844}
}
In this work, we develop a general framework in which Noncommutative Quantum Mechanics (NCQM), characterized by a space noncommutativity matrix parameter and a momentum noncommutativity matrix parameter , is shown to be equivalent to Quantum Mechanics (QM) on a suitable transformed Quantum Phase Space (QPS). Imposing some constraints on this particular transformation, we firstly find that the product of the two parameters θ and β possesses a lower bound in direct relation with Heisenberg… 

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