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• W2052477153 abstract "Chern-Simons quantum mechanics is generalized to the noncommutative plane in this paper. Compared with the commutative counterpart, we find that in addition to the mass of the charged particle, there is a dimensionless parameter which behaves interestingly when it takes zero value. We study this model from both classical and quantum aspects. We show that the classical theory has continuous limits when both the parameters tend to zero while the quantum aspect (energy spectra) does not have. We must regularize the spectra of the full theory properly when these parameters tend to zero in order to get the finite results. We resort to the Dirac theory and the Faddeev-Jackiw reduction, respectively, to show that the regularization we made is proper." @default.
• W2052477153 created "2016-06-24" @default.
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• W2052477153 date "2008-12-05" @default.
• W2052477153 modified "2023-09-27" @default.
• W2052477153 title "Noncommutative Chern-Simons quantum mechanics" @default.
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• W2052477153 doi "https://doi.org/10.1103/physrevd.78.125004" @default.
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