中国物理B ›› 2011, Vol. 20 ›› Issue (3): 33401-033401.doi: 10.1088/1674-1056/20/3/033401

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The dynamical properties of a Rydberg hydrogen atom between two parallel metal surfaces

林圣路1, 李洪云2, 杨善迎2, 刘伟3   

  1. (1)College of Physics and Electronics, Shandong Normal University, Jinan 250014, China; (2)Department of Information Engineering, Laiwu Vocational and Technical College, Laiwu 271100, China; (3)News Center, University of Jinan, Jinan 250022, China
  • 收稿日期:2010-07-13 修回日期:2010-08-22 出版日期:2011-03-15 发布日期:2011-03-15
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No. 10774093) and the Natural Science Foundation of Shandong Province (Grant No. ZR2009FZ006).

The dynamical properties of a Rydberg hydrogen atom between two parallel metal surfaces

Liu Wei(刘伟)a)†, Li Hong-Yun(李洪云)b), Yang Shan-Ying(杨善迎)b), and Lin Sheng-Lu(林圣路)c)   

  1. a News Center, University of Jinan, Jinan 250022, China; b Department of Information Engineering, Laiwu Vocational and Technical College, Laiwu 271100, China; c College of Physics and Electronics, Shandong Normal University, Jinan 250014, China
  • Received:2010-07-13 Revised:2010-08-22 Online:2011-03-15 Published:2011-03-15
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No. 10774093) and the Natural Science Foundation of Shandong Province (Grant No. ZR2009FZ006).

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摘要： This paper presents the dynamical properties of a Rydberg hydrogen atom between two metal surfaces using phase space analysis methods. The dynamical behaviour of the excited hydrogen atom depends sensitively on the atom--surface distance d. There exists a critical atom--surface distance dc = 1586 a.u. When the atom--surface distance d is larger than the critical distance dc, the image charge potential is less important than the Coulomb potential, the system is near-integrable and the electron motion is regular. As the distance d decreases, the system will tend to be non-integrable and unstable, and the electron might be captured by the metal surfaces.

关键词: Poincaré, surfaces of section, chaos, the phase space analysis methods

Abstract: This paper presents the dynamical properties of a Rydberg hydrogen atom between two metal surfaces using phase space analysis methods. The dynamical behaviour of the excited hydrogen atom depends sensitively on the atom–surface distance d. There exists a critical atom–surface distance dc = 1586 a.u. When the atom–surface distance d is larger than the critical distance dc, the image charge potential is less important than the Coulomb potential, the system is near-integrable and the electron motion is regular. As the distance d decreases, the system will tend to be non-integrable and unstable, and the electron might be captured by the metal surfaces.

Key words: Poincaré, surfaces of section, chaos, the phase space analysis methods

中图分类号:  (Interactions of atoms and molecules with surfaces)

  • 34.35.+a
03.65.Sq (Semiclassical theories and applications) 05.45.Mt (Quantum chaos; semiclassical methods)