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

被引：0
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;
D O I：
暂无
中图分类号：
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.
引用
收藏
页码：2992 / 3000
页数：8
相关论文
共 78 条
  • [11] Ho P.M.(2001)undefined Phys. Lett. B 505 591-undefined
  • [12] Ardalan F.(2001)undefined Nucl. Phys. B 610 61001-undefined
  • [13] Arfaei H.(2002)undefined Nucl. Phys. B 627 664-undefined
  • [14] Sheikh-Jabbari M.M.(2002)undefined Nucl. Phys. B 634 1119-undefined
  • [15] Jing J.(2001)undefined Phys. Rev. D 64 L817-undefined
  • [16] Long Z.-W.(2001)undefined Mod. Phys. Lett. A 16 2263-undefined
  • [17] Minwalla S.(2002)undefined Int. J. Mod. Phys. A 17 1296-undefined
  • [18] Van Raamsdonk M.(2002)undefined Phys. Rev. D 66 undefined-undefined
  • [19] Seiberg N.(2002)undefined Phys. Rev. D 65 undefined-undefined
  • [20] Van Raamsdonk M.(2001)undefined J. High Energy Phys. 09 undefined-undefined
12345678