2+1 Dimensional Noncommutative Dirac Oscillator and (Anti)-Jaynes-Cummings Models

被引：0
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作者：
Yong-Qi Luo
You Cui
Zheng-Wen Long
Jian Jing
机构：
[1] Beijing University of Chemical Technology,Department of Physics and Electronic, School of Science
[2] GuiZhou University,Laboratory for Photoelectric Technology and Application, Department of Physics
来源：
International Journal of Theoretical Physics | 2011年 / 50卷
关键词：
Noncommutative; Dirac oscillator; JC model; AJC model;
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学科分类号：
摘要：
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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页码：2992 / 3000
页数：8
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