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Noncommutative quantum mechanicsby: HO Girotti
American Journal of Physics, Vol. 72, No. 5. (2004), pp. 608-612.
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Find related articles from these CiteULike users Find related articles with these CiteULike tags AbstractWe 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.©2004 American Association of Physics Teachers.
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