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Chin. Phys. B, 2008, Vol. 17(8): 2932-2937    DOI: 10.1088/1674-1056/17/8/029
ATOMIC AND MOLECULAR PHYSICS Prev   Next  

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)
College of Physics and Electronics, Shandong Normal University, Jinan 250014, China
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.
Keywords:  Poincaré surfaces of section      closed-orbit theory      recurrence spectra      chaos  
Received:  04 January 2008      Revised:  30 January 2008      Accepted manuscript online: 
PACS:  79.20.Rf (Atomic, molecular, and ion beam impact and interactions with surfaces)  
  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)  
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos 10774093 and 10374061).

Cite this article: 

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) Correspondence between classical dynamics and recurrence spectra of Rydberg hydrogen atom near a metal surface 2008 Chin. Phys. B 17 2932

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