2+1 Dimensional Noncommutative Dirac Oscillator and (Anti)-Jaynes-Cummings Models |
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| Authors: | Yong-Qi Luo You Cui Zheng-Wen Long Jian Jing |
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| Institution: | 1.Department of Physics and Electronic, School of Science,Beijing University of Chemical Technology,Beijing,P.R. China;2.Laboratory for Photoelectric Technology and Application, Department of Physics,GuiZhou University,GuiYang,P.R. China |
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| Abstract: | We study Dirac oscillator in 2+1 dimensional noncommutative space. The model is solved exactly and the relationship with Jaynes-Cummings
(JC) or anti-Jaynes-Cummings (AJC) models are investigated. We find that for a positive noncommutative parameter, there is
an exact map from the 2+1 dimensional noncommutative Dirac oscillator to AJC model. However, for a negative noncommutative
parameter, the noncommutative planar Dirac oscillator contains both AJC and JC terms simultaneously. Our investigation may
afford a new way to study relativistic quantum mechanics models in noncommutative space by means of quantum optics method,
and vice verse. |
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