中国物理B ›› 2008, Vol. 17 ›› Issue (8): 2932-2937.doi: 10.1088/1674-1056/17/8/029

• • 上一篇    下一篇

Correspondence between classical dynamics and recurrence spectra of Rydberg hydrogen atom near a metal surface

李洪云, 高 嵩, 周 慧, 张延惠, 林圣路   

  1. College of Physics and Electronics, Shandong Normal University, Jinan 250014, China
  • 收稿日期:2008-01-04 修回日期:2008-01-30 出版日期:2008-08-20 发布日期:2008-08-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos 10774093 and 10374061).

Correspondence between classical dynamics and recurrence spectra of Rydberg hydrogen atom near a metal surface

Li Hong-Yun(李洪云), Gao Song(高嵩), Zhou Hui(周慧), Zhang Yan-Hui(张延惠), and Lin Sheng-Lu(林圣路)   

  1. College of Physics and Electronics, Shandong Normal University, Jinan 250014, China
  • Received:2008-01-04 Revised:2008-01-30 Online:2008-08-20 Published:2008-08-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos 10774093 and 10374061).

摘要: The chaotic behaviours of the Rydberg hydrogen atom near a metal surface are presented. A numerical comparison of Poincar\'{e} surfaces of section with recurrence spectra for a few selected scaled energies indicates the correspondence between classical motion and quantum properties of an excited electron. Both results demonstrate that the scaled energy dominates sensitively the dynamical properties of system. There exists a critical scaled energy $\varepsilon _{\rm c} $, for $\varepsilon < \varepsilon _{\rm c} $, the system is near-integrable, and as the decrease of $\varepsilon $ the spectrum is gradually rendered regular and finally turns into a pure Coulomb field situation. On the contrary, if $\varepsilon>\varepsilon_{\rm c}$, with the increase of $\varepsilon$, the system tends to be non-integrable, the ergodic motion in phase space presages that chaotic motion appears, and more and more electrons are adsorbed on the metal surface, thus the spectrum becomes gradually simple.

关键词: Poincar\'{e} surfaces of section, closed-orbit theory, recurrence spectra, chaos

Abstract: The chaotic behaviours of the Rydberg hydrogen atom near a metal surface are presented. A numerical comparison of Poincaré surfaces of section with recurrence spectra for a few selected scaled energies indicates the correspondence between classical motion and quantum properties of an excited electron. Both results demonstrate that the scaled energy dominates sensitively the dynamical properties of system. There exists a critical scaled energy $\varepsilon _{\rm c} $, for $\varepsilon < \varepsilon _{\rm c} $, the system is near-integrable, and as the decrease of $\varepsilon $ the spectrum is gradually rendered regular and finally turns into a pure Coulomb field situation. On the contrary, if $\varepsilon>\varepsilon_{\rm c}$, with the increase of $\varepsilon$, the system tends to be non-integrable, the ergodic motion in phase space presages that chaotic motion appears, and more and more electrons are adsorbed on the metal surface, thus the spectrum becomes gradually simple.

Key words: Poincaré surfaces of section, closed-orbit theory, recurrence spectra, chaos

中图分类号:  (Atomic, molecular, and ion beam impact and interactions with surfaces)

  • 79.20.Rf
05.45.-a (Nonlinear dynamics and chaos) 68.43.-h (Chemisorption/physisorption: adsorbates on surfaces) 68.49.Bc (Atom scattering from surfaces (diffraction and energy transfer)) 68.49.Jk (Electron scattering from surfaces)