# Noncommutative quantum mechanics

@article{Girotti2004NoncommutativeQM, title={Noncommutative quantum mechanics}, author={Horacio Oscar Girotti}, journal={American Journal of Physics}, year={2004}, volume={72}, pages={608-612} }

We discuss the main features of noncommutative quantum mechanics, a version of nonrelativistic quantum mechanics that involves noncommuting coordinates. After finding a representation for the algebra obeyed by the coordinates and momenta, we analyze the changes due to the noncommutative nature of the coordinates. The noncommutative two-dimensional harmonic oscillator is discussed in detail. Under certain restrictions, the effect of the noncommutativity is found to be equivalent to a Landau…

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