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The asymptotics of Rydberg states, i.e., highly excited bound states of the hydrogen atom Hamiltonian, and various expectations
involving these states are investigated. We show that suitable linear combinations of these states, appropriately rescaled
and regarded as functions either in momentum space or configuration space, are highly concentrated on classical momentum space
or configuration space Kepler orbits respectively, for large quantum numbers. Expectations of momentum space or configuration
space functions with respect to these states are related to time-averages of these functions over Kepler orbits.
Received: 8 November 1996 / Accepted: 13 January 1997 相似文献
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The spectra of Rydberg hydrogen atom in magnetic fields have been calculated using linear variational method with B-splines basis functions [Acta Phys. Sin. 55 (2006) 3380]. Based on these calculations we have done some statistics analysis about the high Rydberg energy levels. The nearest-neighbor energy spacing distribution and the 3-statistics have been shown about diamagnetic Rydberg hydrogen atom with the magnetic field being 0.6 T and 6 T. The phenomena of multiply crossing, multiply anti-crossing, and the mixed of crossing and anti-crossing of energy levels have appeared in this paper. For both cases, in range of lower energy, the energy 1evel statistics properties close to Poisson distribution. With the increasing of the energy, the energy level statistics properties are away to Poisson distribution and tend to Wigner distribution step by step. 相似文献
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Using closed orbit theory, we study the influence of the two parallel metal surfaces on the recurrence spectra of a hydrogen atom placed in the region between the two surfaces. The results show that the metal surfaces have significant effect on the photoabsorption process. Each resonance peak in the recurrence spectra is associated with one electronic closed orbit. In our work, we put the first metal surface at the critical value dc and vary the second metal surface. The results show that when the distances between the hydrogen atom and the two metal surfaces are close to the critical valuedc, the number of the closed orbits is the greatest and there are more peaks in the recurrence spectra. When the distance between the atom and the second metal surface is larger or smaller than dc, the number of the closed orbits decreases and there are fewer peaks in the recurrence spectra. The agreement between the semiclassical calculation spectra and the quantum calculation spectra suggests that our analysis is correct. 相似文献
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The ionization dynamics of a Rydberg hydrogen atom in a generalized van der Waals potential is studied using a semiclassical analysis of photoionization microscopy. Interference patterns of the 2-D radial probability density of the electrons escaping from a photoionization process have been calculated to simulate the patterns recorded on a position-sensitive detector. The added contributions from different ionization trajectories from the atom to the detector generate the interference pattern. The interference pattern is sensitive to one of the parameters governing the electron motion in the generalized van der Waals potential. The photoionization microscopy pattern can therefore be controlled by changes in the external potential. 相似文献
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QIAOHao-Xue LIBai-Wen 《理论物理通讯》2002,37(1):15-20
A new pseudospectral method was introduced to calculate wavefunctions and energy levels of hydrogen atom in arbitrary potential.Some results of hydrogen atom in uniform magnetic fields were presented,high accuracy of results was obtained with simple calculations,and our calculations show very fast convergence.It suggests a new method for calculations of hydrogen atom in external fields. 相似文献
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A theoretical study is presented for two-dimensional (2D) and three-dimensional (3D) atom localization in a four-level atomic system involving a Rydberg state. The scheme is based on a mixture of two well-known V- and ladder-type systems illuminated by a weak probe field as well as control and switching laser beams of larger intensity, which could be standing waves. As a result of space-dependent atom? light interaction and due to the effect of Rydberg electromagnetically induced transparency or Rydberg electromagnetically induced absorption, various 2D and 3D localization structures appear. Specifically, the detecting probability and precision of 2D and 3D atom localization can be remarkably enhanced through suitable adjusting the controlling parameters of the system. The proposed scheme may provide a promising approach to achieve high precision and perfect resolution 2D and 3D atom localization. 相似文献
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采用ππ偏振激光,通过两步激发和光电离方法,在0-154V/cm电场范围内,测定了Yb原子n-18附近m=0的斯塔克光谱,首次把包含斯塔克效应的能量矩阵对角化方法推广到Yb原子,所获得的理论斯塔克图与实验结果基本符合,观察到低场中斯塔克簇随电场增加呈现线性结构以及^1P1态与斯塔克簇在抗交叉过程中振子强度发生转移的现象,讨论了结构与量子亏损的关系。 相似文献
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We present observations of Stark spectra of barium in highly excited Rydberg states in the energy region around n = 35. The one-photon excitation concerns the π transition. The observed Stark spectra at electric fields ranging from 0 to 60 V·cm-1 are well explained by the diagonalization of the Hamiltonian incorporating the core effects. From the Stark maps, the anti-crossings between energy levels are identified experimentally and theoretically. The time of flight spectra at the specified Stark states are recorded, where the deceleration and acceleration of barium atoms are observed. This is very consistent with the prediction derived from the Stark maps from the point of view of energy conservation. 相似文献
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Dynamics of a Rydberg Hydrogen Atom in a Generalized van der Waals Potential and a Magnetic Field 下载免费PDF全文
The classical dynamics of a Rydberg hydrogen atom in a generalized van der Waals potential plus a magnetic field is investigated by using the Poincaré surface of section and phase space trajectories method. The dynamical character of this system depends sensitively on the magnetic field strength. The numerical calculations show that for a certain van der Waals potential, its classical dynamics is regular without the external magnetic field. However, with the addition of the external magnetic field, the dynamical property of the Rydberg hydrogen atom begins to change. With the increase of the magnetic field strength, order-chaos-order-chaos types of transition regions are observed for the hydrogen atom. As the magnetic field strength is very large, nearly all the phase space trajectories are chaotic. Under this condition, only chaotic motion appears. This is caused by the diamagnetic Zeeman effect. Our study provides a different perspective on the dynamical behavior of the Rydberg atom in the van der Waals potential and magnetic field. 相似文献
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The ac Stark effect was used to induce resonant energy transfer between translationally cold 85Rb Rydberg atoms. When a 28.5 GHz dressing field was set at specific field strengths, the two-atom dipole-dipole process 43d5/2+43d5/2-->45p3/2+41f was dramatically enhanced, due to induced degeneracy of the initial and final states. This method for enhancing interactions is complementary to dc electric-field-induced resonant energy transfer, but has more flexibility due to the possibility of varying the applied frequency. 相似文献
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在对圆极化光调谐及一些近似处理的基础上,圆极化光场中阻尼V-型三能级原子分为6个能级,并针对强场的弱场两种情形,导出了原子能级与能级衰减系数的具体表达式。 相似文献
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Ushakov V. G. Osherov V. I. Medvedev E. S. 《Journal of Experimental and Theoretical Physics》2019,129(4):693-699
Journal of Experimental and Theoretical Physics - We derive the expansion of the irregular physical solution over the spherical solutions at negative energies, which is necessary for obtaining the... 相似文献
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JIN Cheng ZHOU Xiao-Xin ZHAO Song-Feng 《理论物理通讯》2007,47(1):119-126
The B-spline expansion technique is applied to study the anticrossings for potassium Rydberg states in a static electric field. The results of our calculation indicate that the antierossings are caused mainly by the core interaction or by the fine structure interaction. Our results for the positions and the widths of the anticrossings are in good agreement with experimental data. 相似文献
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