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1.
GE Meihua ZHANG Yanhui WANG Dehua DU Mengli & LIN Shenglu . College of Physics Electronics Shandong Normal University Jinan China . Department of Mathematics Physics Shandong Institute of Architecture Engineering Jinan China . Institute of Theoretical Physics Chinese Academy of Sciences Beijing China 《中国科学G辑(英文版)》2005,48(6):667-675
In recent years much attention is focused on the dynamics of Rydberg atom in exter- nal fields. At the same time Rydberg atom near a metal surface plays an important role as a typical theoretical model and produces measurable experimental response[1]. As an interesting model it covers many dynamical effects: instantaneous van der Waals inter- action[2,3], Zeeman-Stark effects and diamagnetic effects in strong fields[4], and so on. Its classical motion is very complex. When the atom-surface i… 相似文献
2.
The dynamical properties of Rydberg hydrogen atom near a metal surface are presented by using the methods of phase space analysis
and closed orbit theory. Transforming the coordinates of the Hamiltonian, we find that the phase space of the system is divided
into vibrational and rotational region. Both the Poincaré surface of section and the closed orbit theory verify the same conclusion
clearly. In this paper we choose the atomic principal quantum number asn=20. The dynamical character of the exited hydrogen atom depends sensitively on the atom-surface distanced. Whend is sufficiently large, the atom-surface potential can be expressed by the traditional van der Waals force and the system
is integrable. Whend becomes smaller, there exists a critical valued
c. Ford>d
c, the system is near-integrable and the motion is regular. While chaotic motion appears ford<d
c, and the system tends to be non-integrable. The trajectories become unstable and the electron might be captured onto the
metal surface. 相似文献
3.
H. Y. Li X. Zhao S. Gao X. Y. Xu H. Zhou S. L. Lin 《The European Physical Journal D - Atomic, Molecular, Optical and Plasma Physics》2008,49(1):1-6
By using the closed-orbit theory including the effect of Coulomb scattering together with an electrical image potential approach,
the recurrence spectra and the dynamical behaviours of the Rydberg hydrogen atom near a metal surface are presented. Theoretical
analysis and numerical simulation reveal that the impacts of the image potential contributing to the recurrence spectrum are
qualitatively analogous to that of the parallel electrical and magnetic fields on the Rydberg atom. The recurrence spectra
are computed for a few selected scaled energies and the results demonstrate that the scaled energy dominates the dynamical
properties of system. With the increase of the scaled energy e from small to large, the whole trend of spectral structure
is from simple to complex,and then simple. 相似文献
4.
利用相空间分析方法研究了外电场中金属表面附近里德堡氢原子的动力学性质. 结果表明, 体系的动力学性质敏感地依赖于原子与金属表面间的距离和电场强度.通过固定原子与金属表面间的距离, 分析了外加电场作用下里德堡电子的Poincaré 截面和运动轨迹的演化过程. 研究表明: 电场的出现加速了金属表面对电子的吸附, 随着电场强度的增加,体系的动力学性质由原子与金 属表面间的距离控制逐渐变为由电场起主导作用,体系逐渐由不可积变为可积, 电子的运动轨道最终全部变为振动型轨道.
关键词:
Poincaré截面
相空间分析方法
里德堡氢原子 相似文献
5.
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. 相似文献
6.
7.
半经典闭合轨道在外场和激光参数的某些值附近发生分岔,导致波函数的发散,使原有的半经典闭合轨道理论失效-计算了高激发的Li原子在标度能量为ε=-2-94,标度电场在135 -86-1/4<160-11范围内光吸收谱的Fourier变换,分析了轨道分岔现 象及其影 响,并采用了一种适用于不同能域的统一近似方法修正了分岔点附近波函数-计算中考虑了 原子实多重散射组合回归效应,并把所得回归谱与用标准半经典闭合轨道理论对Li原子及H 原子的计算结果相比较,证明了轨道分岔效应的重要性-
关键词:
分岔
统一近似
半经典闭合轨道理论
回归谱 相似文献
8.
Semiclassical calculation of the recurrence spectra of He Rydberg atom in perpendicular electric and magnetic fields
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Closed orbit theory is a semiclassical technique for explaining the spectra of Rydberg atoms in external fields. By developing the closed orbit theory from two degrees of freedom to three non-separable degrees of freedom, we calculated the recurrence spectra of He Rydberg atom in perpendicular electric and magnetic fields. The closed orbits in the corresponding classical system have also been obtained. Fourier transformed spectra of He atoms have allowed direct comparison between the resonance peaks and the scaled action values of closed orbits, whereas the nonhydrogenic resonance can be explained in terms of the new orbits created by the core scattering. The semiclassical result is in good agreement with the quantum spectra, which suggests that our method is correct. 相似文献
9.
In this paper, we report the dynamical behaviours of a four-dimenslonal autonomous continuous dissipative system analysed when the parameter is varied in the range we are interested in. The system changes its dynamical modes between periodic motion and quasiperiodic motion. Furthermore, the existence of two-torus is investigated numerically by means of Lyapunov exponents. By taking advantage of phase portraits and Poincaré sections, two types of the two-torus are observed and proved to have the structure of ring torus and horn torus, both of which are known to be the standard tori. 相似文献
10.
In this paper, we report the dynamical behaviours of a
four-dimensional autonomous continuous dissipative system analysed
when the parameter is varied in the range we are interested in. The
system changes its dynamical modes between periodic motion and
quasiperiodic motion. Furthermore, the existence of two-torus is
investigated numerically by means of Lyapunov exponents. By taking
advantage of phase portraits and Poincar\'{e} sections, two types of
the two-torus are observed and proved to have the structure of ring
torus and horn torus, both of which are known to be the standard
tori. 相似文献
11.
Chaotic motion of the dynamical system under both additive and multiplicative noise excitations
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With both additive and multiplicative noise excitations, the effect on the chaotic behaviour of the dynamical system is investigated in this paper. The random Melnikov theorem with the mean-square criterion that applies to a type of dynamical systems is analysed in order to obtain the conditions for the possible occurrence of chaos. As an example, for the Duffing system, we deduce its concrete expression for the threshold of multiplicative noise amplitude for the rising of chaos, and by combining figures, we discuss the influences of the amplitude, intensity and frequency of both bounded noises on the dynamical behaviour of the Duffing system separately. Finally, numerical simulations are illustrated to verify the theoretical analysis according to the largest Lyapunov exponent and Poincaré map. 相似文献
12.
Qiang Chen 《哲学杂志》2015,95(33):3712-3726
Based on the semiclassical analysis of photoionization microscopy, we study the ionization of the Rydberg hydrogen atom near a dielectric surface. The radial electron probability density distributions on a given detector plane are calculated at different scaled energies and near different dielectric surfaces. We find due to the interference effect of different types of electron trajectories arriving at a given point on the detector plane, oscillatory structures appear in the electron probability density distributions. With the increase in the scaled energy, more types of electron ionization trajectories appear and the oscillatory structure in the electron probability density distributions becomes complex. Besides, the dielectric constant of the dielectric surface can also affect the electron probability density distributions. Since the photoionization microscopy interference pattern recorded on the detector plane reflects the distribution of the square modulus of the transverse component of the electronic wave function, with the recorded interference pattern, we can investigate the ionization dynamics of the Rydberg atom near surfaces clearly. This study provides some reference values for the future experiment research on the photoionization microscopy of the Rydberg atom near dielectric surfaces. 相似文献
13.
We have studied the ionization of Rydberg hydrogen atom near a metal surface with a semiclassical analysis of photoionization microscopy. Interference patterns of the electron radial distribution are calculated at different scaled energies above the classical saddle point and at various atom-surface distances. We find that different types of trajectories contribute predominantly to different manifolds in a certain interference pattern. As the scaled energy increases, the structure of the interference pattern evolves smoothly and more types of trajectories emerge. As the atom approaches the metal surface closer, there are more types of trajectories contributing to the interference pattern as well. When the Rydberg atom comes very close to the metal surface or the scaled energy approaches the zero field ionization energy, the potential induced by the metal surface will make atomic system chaotic. The results also show that atoms near a metal surface exhibit similar properties like the atoms in the parallel electric and magnetic fields. 相似文献
14.
Dehua Wang Kaiyun Huang Shenglu Lin 《The European Physical Journal D - Atomic, Molecular, Optical and Plasma Physics》2009,54(3):699-706
The ionization of Rydberg hydrogen atoms near a metal surface at different scaled energies above the classical saddle point
energy has been discussed by using the semiclassical method. The results show that the atoms ionize by emitting a train of
electron pulses. In order to reveal the chaotic and escape dynamical properties of this system in detail, the sensitive dependence
of the ionization rate upon the scaled energy is discussed. As the scaled energy is close to the saddle point energy, the
ionization process of the hydrogen atom is nearly the same as the case of hydrogen atom in an electric field. There is only
a single pulse of electrons, with an exponentially decaying tail. With the increase of the scaled energy, the ionization rates
are similar to the case of the hydrogen atom in parallel electric and magnetic field, a series of electron pulses appear in
the ionization process. This is caused by classical chaos, which occurs for the metal surface. Our studies also suggest that
the metal surface can play the role of both the electric and the magnetic fields. Our theoretical analysis will be useful
for guiding experimental studies of the ionization of atoms near the metal surface. 相似文献
15.
Short-ranged potential effects on the recurrence spectra of lithium M = 1 atoms in parallel electric and magnetic fields
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This paper presents recurrence spectra of highly excited lithium atoms with M = 1 state in parallel electric and magnetic fields at a fixed scaled energy ε = -0.03. Short-ranged potentials including ionic core potential and centrifugal barrier are taken into account. Their effects on the states and photo-absorption spectrum are analysed in detail. This demonstrates that the geometric features of classical orbits are of special importance for modulations of the spectral pattern. Thus the weak polarization as well as the reduction of correlation of electrons induced by short-ranged potentials give rise to the recurrence spectra of lithium M = 1 atoms more compact than that of the M = 0 one, which is in good agreement with the experimental prediction. 相似文献
16.
In the ionisation of Rydberg hydrogen atoms near a metal surface,the electron will escape from the nucleus and arrive at the detector in a time sequence.This probability flux train relies on the initial electron wave packet irradiated by the laser pulse.For simplicity,the laser pulse is usually simplified to a delta function in energy domain,resulting in a sharp initial arrival time with an exponentially decaying tail at the detector.Actually and semiclassically,the initial outgoing wave should be modeled as an ensemble of trajectories propagating away from the atomic core in all directions with a range of launch times and a range of energies.In this case,each pulse in the pulse train is averaged out rather than a sharp profile.We examine how energy and time averaging of the electron wave packet affects the resolution of escaping electron pulses and study the energy dependence of the arrival time for each pulse in the ionisation train.An optimization condition for the laser pulse shape to generate narrow ionisation electron pulse in the train is obtained.The ionisation rates with various excitation energy are calculated also,which show the excitation to higher N Rydberg states will narrow the electron pulse as well. 相似文献
17.
利用包括实散射的闭合轨道理论和分区自洽迭代的计算方法,研究了在标度能量~ε=-0.03和标度电场~f=0.01的情况下He(M=1)原子在平行电磁场中的闭合轨道和光吸收的回归谱.与相同条件下的He(M=0)原子的回归谱相比较,由于z轴处的排斥势,减小了原子实短程衍射效应和电子的关联,使谱变得简单,这与实验的结果一致. 相似文献
18.
Semiclassical calculation of Rydberg He2^+ molecular of recurrence spectra ion in a magnetic field
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Making use of the molecular closed-orbit theory and a new model potential for the Rydberg molecule, we have calculated the recurrence spectra of He^2+ molecular ion in a magnetic field for different quantum defects. The Fourier transform spectra of He^2+ molecular ion may be used to perform a direct comparison between peaks in the spectra and the scaled action values of closed orbits of the excited electron in external fields. We find that the spectral modulations can be analysed in terms of the scattering of the excited electron on the molecular core. Unlike the case of the Rydberg atom where the elastic scattering is predominant, modulations produced by inelastic scattering are also vital to the photoabsorption spectrum of the Rydberg molecule. Our results are in good agreement with the quantum results, which suggests that our method is correct. 相似文献
19.
The closed-orbit and the photoabsorption spectra of the Rydberg hydrogen atom between two parallel metallic surfaces
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Using the closed orbit theory, we study the classical motion and calculate the
photoabsorption spectra of Rydberg hydrogen atom between two parallel metallic
surfaces. The results show that the metallic surfaces have a significant effect
on the photoabsorption process. When the distances between the hydrogen atom
and the two metallic surfaces are close to a critical value dc, the number
of the closed orbits is the greatest. When the distance larger or smaller
than dc, the number of the closed orbits decreases and the absorption
spectra are shown to exhibit a damping oscillation. This work is an
interesting new application of closed-orbit theory and is of potential
experimental interest. 相似文献
20.
Generating one-, two-, three- and four-scroll attractors from a novel four-dimensional smooth autonomous chaotic system
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A new four-dimensional quadratic smooth autonomous chaotic
system is presented in this paper, which can exhibit periodic orbit
and chaos under the conditions on the system parameters.
Importantly, the system can generate one-, two-, three- and
four-scroll chaotic attractors with appropriate choices of
parameters. Interestingly, all the attractors are generated only by
changing a single parameter. The dynamic analysis approach in the
paper involves time series, phase portraits, Poincar\'{e} maps,
a bifurcation diagram, and Lyapunov exponents, to investigate some
basic dynamical behaviours of the proposed four-dimensional system. 相似文献