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31.
An expansion method for stationary states is applied to obtain the eigenfunctions and the eigenenergies of the quarter stadium billiard, and its nearest energy-level spacing distribution is obtained. The histogram is consistent with the standard Wigner distribution, which indicates that the stadium billiard system is chaotic. Particular attention is paid to pursuing the quantum manifestations of such classical chaos. The correspondences between the Fourier transformation of quantum spectra and classical orbits are investigated by using the closed-orbit theory. The analytical and numerical results are in agreement with the required resolution, which corroborates that the semiclassical method provides a physically meaningful image to understand such chaotic systems. 相似文献
32.
Analysis of the fractal intrinsic quality in the ionization of Rydberg helium and lithium atoms 下载免费PDF全文
We study the fractal rhythm in the ionization of Rydberg helium and lithium atoms in an electric field by using the semiclassical method. The fractal structures present a nested relationship layer by layer in the initial launch angles of the ionized electrons versus the escape time, which is defined as the rhythm attractor, and exhibit similar rhythm endings. The gradually enhanced chaotic regions of the escape time plots tend to broaden as the scaled energy increases. In addition,the fractal rhythm changes synchronously with the oscillations of the kinetic energy spectrum. We note that the intrinsic quality of the fractal rhythm is closely related to the kinetic energy distribution, that is, the inherent dynamic properties of the Hamiltonian equations have an impact on the fractal regularities. In addition, different ionizing closed trajectories exhibit iterate properties and the inherent beauty of symmetry. Our results and analysis can not only reveal new laws in the ionization of Rydberg atoms, but also promote the establishment of the dynamic mechanism of fractals. 相似文献
33.
This paper presents theoretical computations of the ionization rate of Rydberg lithium atom above the classical ionization threshold using semiclassical approximation. The yielded random pulse trains of the escape electrons are recorded as a function of emission time such that they can be related to the terms of the recurrence periods of the photoabsorption. This fact illustrates that it is ionic core scattering processes which give rise to chaos in autoionization dynamics and this is verified by comparison of our results with the hydrogen atom situation. In order to reveal the chaotic properties in detail, the sensitive dependence of the ionization rate upon the scaled energy is discussed for different scaled energies. This approach provides a simple explanation for the chaotic character in autoionization decay of Rydberg alkali-metal atoms. 相似文献
34.
Correspondence between classical dynamics and recurrence spectra of Rydberg hydrogen atom near a metal surface 下载免费PDF全文
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. 相似文献
35.
Based on the extended closed-orbit theory together with spectral
analysis, this paper studies the correspondence between quantum
mechanics and the classical counterpart in a two-dimensional annular
billiard. The results demonstrate that the Fourier-transformed
quantum spectra are in very good accordance with the lengths of the classical
ballistic trajectories, whereas spectral strength is
intimately associated with the shapes of possible open orbits
connecting arbitrary two points in the annular cavity. This approach
facilitates an intuitive understanding of basic quantum features
such as quantum interference, locations of the wavefunctions, and
allows quantitative calculations in the range of high energies,
where full quantum calculations may become impractical in general.
This treatment provides a thread to explore the properties of
microjunction transport and even quantum chaos under the much more
general system. 相似文献
36.
近金属表面的Rydberg氢原子的动力学性质 总被引:2,自引:0,他引:2
用相空间分析方法和闭合轨道理论研究了近金属表面氢Rydberg原子的动力学性质. 由氢Rydberg原子与金属表面相互作用的Hamilton量, 通过坐标变换发现, 电子运动的相空间可以分为振动区和转动区, 从Poincaré截面和闭合轨道都能很清楚地说明这一点. 选取主量子数n = 20的氢原子, 其动力学行为敏感地依赖于原子与金属表面间的距离 d: 在d较大时, 原子与金属表面间的相互作用表现为经典的van der Waals力, 系统是可积的; d变小时, 存在一个临界值dc. 当d>dc时, 系统是近可积的, 接近于规则运动; d<dc时, 系统是不可积的, 运动是混沌的, 轨道是不稳定的, 电子有可能被金属表面俘获. 相似文献
37.