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.
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)
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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