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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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The fractal structure in the ionization dynamics of Rydberg lithium atoms in a static electric field
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The ionization rate of Rydberg lithium atoms in a static
electric field is examined within semiclassical theory which involves
scattering effects off the core. By semiclassical analysis, this
ionization process can be considered as the promoted valence
electrons escaping through the Stark saddle point into the ionization
channels. The resulting escape spectrum of the ejected electrons
demonstrates a remarkable irregular electron pulse train in
time-dependence and a complicated nesting structure with respect to
the initial launching angles. Based on the Poincaré} map and homoclinic
tangle approach, the chaotic behaviour along with its corresponding
fractal self-similar structure of the ionization spectra are
analysed in detail. Our work is significant for understanding the
quantum-classical correspondence. 相似文献
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Quantum billiards have attracted much interest in many fields. People have made a lot of researches on the two-dimensional (2D) billiard systems. Contrary to the 2D billiard, due to the complication of its classical periodic orbits, no one has studied the correspondence between the quantum spectra and the classical orbits of the three-dimensional (3D) billiards. Taking the cubic billiard as an example, using the periodic orbit theory, we find the periodic orbit of the cubic billiard and study the correspondence between the quantum spectra and the length of the classical orbits in 3D system. The Fourier transformed spectrum of this system has allowed direct comparison between peaks in such plot and the length of the periodic orbits, which verifies the correctness of the periodic orbit theory. This is another example showing that semiclassical method provides a bridge between quantum and classical mechanics. 相似文献
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Quantum Spectra and Classical Orbits in Two-Dimensional Equilateral Triangular Billiards 总被引:6,自引:0,他引:6
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We study the correspondence between quantum spectra and classical orbits in the equilateral triangular billiards. The eigenstates of such systems are not separable functions of two variables even though the problem is exactly solvable. We calculate the Fourier transform of a quantum spectral function and find that the positions of the peaks match well with the lengths of the classical orbits. This is another example showing that the quantum spectral function provides a bridge between quantum and classical mechanics. 相似文献
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利用半经典微扰理论计算了在H-H2O的非弹性碰撞中的H2O分子的转动、振动激发,并将计算结果与实验结果进行比较。计算中采用了Schatz和Elgersma的半经验势能面,水分子的势函数,包括了谐振和非谐振力函数,在考虑了振动和转动耦合的情况下,通过半经典微扰理论来确定水分子末态的振动量子数。在Lovejoy等人最近进行的实验中,当热氢原子入射时,水分子的转动和振动被激发了,而且发现水分子的转动角动量有垂直于水分子平面优先激发的趋势。我们的计算也得到出了相同的结果。 相似文献
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本文通过对原子—分子散射的全Green算子的恰当数学处理,推导出了GES和GAN理论的跃迁矩阵元表达式,并对其物理意义加以说明,最后列出了用GES理论对He—H_2体系计算结果。 相似文献
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随机梁式结构静力损伤识别的一种改进方法 总被引:1,自引:1,他引:0
针对已有的损伤识别方法会出现损伤误识别的问题,本文在已有方法的基础上发展了一种随机梁式结构静力损伤识别的改进方法。假定静力荷载下梁式结构初始模型参数(如弹性模量和几何尺寸等)及测量误差为随机量,给出已有的基于随机有限元模型的梁式结构静力损伤识别方法,并进一步提出了一种改进方法。该方法通过设定损伤概率指标的阈值和反复迭代对结构损伤识别进行改进。数值算例和简支梁静力试验表明,考虑初始模型的不确定性以及静力响应测量误差,本文方法相较已有方法可以更有效地识别梁式结构的损伤。 相似文献