大学物理 ›› 2012, Vol. 31 ›› Issue (10): 1-1.

• 著者文摘 •    下一篇

非对易量子力学中中性原子在外电磁场中的朗道能级量子化

热依木阿吉·亚克甫 沙依甫加马力·达吾来提 阿斯叶古丽·吾布力卡丝木   

  1. 新疆大学物理科学与技术学院,新疆乌鲁木齐830046
  • 出版日期:2012-10-25 发布日期:2012-10-20

Landau quantization of neutral atom in an electromagnetic field in noncommutative quantum mechanics

  • Online:2012-10-25 Published:2012-10-20

摘要: 在非对易量子力学的框架中研究了中性原子在外加电磁场中运动时的朗道能级量子化问题,首先给出了中性原子体系在非对易量子力学中的哈密顿量,然后分别求解了非对易空间和非对易相空间中的薛定谔方程,并得到相应的朗道能级和本征波函数,同时给出了由于空间非对易性引起的能量修正项。

关键词: 朗道能级量子化, 中性原子, 非对易空间, 非对易相空间

Abstract: Within the scope of noncommutative quantum mechanics, we study the Landau problem for neutral atoms in the presence of an external electromagnetic field. By solving the time independent Sehrodinger equations in both noncommutative space and noncommutative phase space, we obtain explicit experession of Landau energy levels and corresponding eigenfunctions, at the asme time, we claculate the energy correction terms caused by noncommutativity, respectively.

Key words: Landau quantization, neutral atom, noncommutative space, noncommutative phase space

中图分类号: 

  • O414.13