# 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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