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arXiv:hep-th/0301237 · American Journal of Physics

Noncommutative quantum mechanics

H. O. Girotti

Published Apr 13, 2004• 56 citations
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Abstract

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 interaction. The modifications produced by the noncommutativity on the thermodynamic functions of the oscillator also are studied.

DOI
10.1119/1.1624116

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