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利用半经典方法研究了平行电磁场中里德堡氢原子的分形自相似现象. 通过研究平行电磁场中里德堡氢原子的逃逸时间和初始出射角间的关系, 发现了逃逸时间图的自相似结构, 并通过研究与图中冰柱对应的逃逸轨道, 得到了自相似结构和逃逸轨道之间的关系, 发现了该类自相似逃逸轨道满足的规律. 进一步研究了标度能量和标度磁场对体系动力学的影响, 表明标度能量和标度磁场均控制体系的分形自相似结构. 当标度能量或标度磁场比较小时, 没有自相似现象, 随着标度能量或标度磁场的增大, 自相似出现, 体系变复杂. 相似文献
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《物理学报》2016,(24)
亥姆霍兹定理表明任意空间矢量场可以分解为涡旋场和梯度场的叠加.由于电磁场变化和电磁波传播则导致电磁场能量的迁移,动力学振子和神经元处于复杂电磁环境下必然伴随能量的吸收和释放.在非线性混沌电路、电容器充电放电以及电感线圈感应过程中都伴随着能量的转换和迁移.包含量纲的非线性振荡电路可利用标度变换方法转换为无量纲的动力学方程.利用平均场理论,电场能量和磁场能量的转换可用若干非线性振荡电路的动力学方程来刻画.基于亥姆霍兹定理来研究一类无量纲非线性动力学系统的哈密顿能量计算问题,对于实际的非线性振荡电路,通过标度变换可快速计算其能量函数.该结果对于动力学系统自适应控制有重要的参考价值. 相似文献
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本文利用神经网络方法构建了HCO体系的基态(X 2A'')与第一激发态(A 2A'')的高精度全维势能面. 利用含Davidson修正的内收缩MRCI-F12方法结合非常大的ACV5Z基组,共计算了4624个从头算点,且没有采取任何标度方案. 平衡构型、解离能、振动基频等与实验吻合很好. 与Ndengué等人的此前经标度得到的势能面相比,本文势能面计算的吸收光谱强度略大,峰值位置向更小的能量偏移了几十个波. 结果表明标度势能将会对动力学结果产生一些难以预测的影响. 然而,基于之前标度的势能面计算得到的共振能量比本文的结果更接近实验值,尽管如此,本文新发展的非标度高级别势能面仍有望为之后HCO体系的光解和碰撞动力学的实验和理论研究提供一些理论基础. 相似文献
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基于动力学重整化群理论研究表面界面生长动力学标度奇异性问题, 得到含时空关联噪声的表面生长方程标度奇异指数的一般结果,并将此方法应用于几种典型的局域生长方程——Kardar-Parisi-Zhang(KPZ)方程、线性生长方程、Lai-Das Sarma-Villain(LDV)方程.结果表明,在长波长极限下局域生长方程的动力学标度奇异性与最相关项、基底维数以及噪声有关,并且若出现标度奇异性,只会是超粗化(super rough)奇异标度行为,而不是内禀(intrinsically)奇异标度行为.
关键词:
标度奇异性
动力学重整化群理论
时空关联噪声 相似文献
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表面界面动力学粗化过程是凝聚态物理领域重要的研究内容,为研究基底不完整性对刻蚀模型动力学 标度行为的影响,本文采用Kinetic Monte Carlo(KMC)方法,分析研究了在随机稀释基底上刻蚀模型(Etching model)生长表面的动力学标度行为.研究发现:尽管随机稀释基底的不完整性会对刻蚀表面的动力学 行为产生显著的影响,导致刻蚀表面粗糙度指数和生长指数有明显的增加, 但其仍基本满足原有的动力学标度规律.此外,本文还对刻蚀表面动力学标度指数的有限尺寸效应进行了 分析讨论. 相似文献
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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
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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
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WANG De-Hua 《理论物理通讯》2008,49(2):467-472
Multielectron to theoretical treatments atoms near a metal surface are essentially more complicated than hydrogen atom with regard By using the semicalssical dosed orbit theory generalized to the multielecton atoms, we study the dynamical properties of the Rydberg lithium atom near a metal surface. The photoabsorption spectra and recurrence spectra of this system have also been calculated. Considering the effect of the ionic core potential of the Rydberg lithium atom, the number of the closed orbits increases, which leads to more peaks in the recurrence spectra than the case of hydrogen atom near a metal surface. This result shows that the core-scattered effects play an important role in nonhydrogenic atoms. This study is a new application of the closed-orbit theory and is of potential experimental interest. 相似文献
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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
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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
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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
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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
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Norman E. Hurt 《International Journal of Theoretical Physics》1973,7(6):423-430
The regularised energy surface of then-dimensional hydrogen atom is shown to be naturally the total space of a quantisable dynamical system. The automorphism groups of dynamical systems are studied; and the connected Riemannian dynamical systems with automorphism groups of maximal dimension are classified. Finally, the compact, connected and simply connected quantisable dynamical system with automorphism group of maximal dimension is shown to be the set of independent harmonic oscillators with equal periods.This research was supported in part by NSF GP-20856A, No. 1. 相似文献
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The problem of a hydrogen atom in a strong magnetic field is solved quantum-mechanically in the (r,ρ,φ) coordinate system.The main part of the Hamillonian can be solved by separation variables and the remaining part is small and is treated as a perturbation,The zeroth order energy and wave function are obtained, the expression for the first perturbation energy is derived, the well-known quasi-Landau resonance interval 3/2h ωC near thresold and the approximate scaling law 3γ≈1 are dediced amd the approximate dynamical symmetry possessed by this system is found. 相似文献