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

Chinese Physics B 2008年第8期17卷 2932-2937页

作者：李洪云高嵩周慧张延惠林圣路 College of Physics and Electronics Shandong Normal University

The chaotic behaviours of the Rydberg hydrogen atom near a metal surface are presented. A numerical comparison of poincare 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 εc, for ε 〈 εc, the system is near-integrable, and as the decrease of ε the spectrum is gradually rendered regular and finally turns into a pure Coulomb field situation. On the contrary, if ε 〉 εc, with the increase of ε, 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： poincare surfaces of section closed-orbit theory recurrence spectra chaos

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

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Chinese Physics B 2011年第3期20卷 191-197页

作者：刘伟李洪云杨善迎林圣路 News Center University of Jinan Department of Information Engineering Laiwu Vocational and Technical College College of Physics and Electronics Shandong Normal University

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 de, 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： poincare surfaces of section chaos the phase space analysis methods

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