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1.
Using core-scattered closed-orbit
theory and region-splitting iterative
method, we calculated the scaled recurrence spectra of helium atom in
parallel electric and magnetic fields. Closed orbits in the corresponding
classical system have also been obtained. When we search the closed orbits, in order to remove the Coulomb singularity of the classical Hamiltonian
motion equations, we implement the Kustaanheimo-Stiefel transformation,
which transforms the system from a three-dimensional to a four-dimensional
one. The Fourier transformed spectrum of helium atom has allowed direct
comparison between peaks in such plot and the scaled action values of closed
orbits. The results are compared with those of the hydrogen case, which shows
that the core-scattered effects play an important role in the recurrence
spectra of the multi-electron Rydberg atom. 相似文献
2.
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
3.
We develop the semi-closed orbit theory from two degrees of freedom to three non-separable degrees of freedom and put forward a new model potential for the Li Rydberg atom, which reduces the study of the system to an effective one-particle problem. Using this model potential and the closed orbit theory for three degrees of freedom, we calculate the recurrence spectra of Li Rydberg atom in perpendicular electric and magnetic fields. The closed orbits in the corresponding classical system have also been obtained. The Fourier transformed spectra of Li atom 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. Our result is in good agreement with the quantum spectra, which suggests that our calculation is correct. 相似文献
4.
The closed-orbit and the photoabsorption spectra of lithium atom in varying'magnetic fields 下载免费PDF全文
Using a simple analytic formula from closed orbit theory, we have calculated the photoabsorption spectra of Li atom in different magnetic fields. Closed orbits in the corresponding classical system have also been obtained for B=5.96T.We demonstrate schematically that the closed orbits disappear gradually with the decrease of the magnitude of the magnetic field. This gives us a good method to control the closed orbits in the corresponding system by changing the magnetic field, and thus changing the peaks in the photoabaorption spectra. By comparing the photoabsorption spectra of Li atom with those of hydrogen case, we find the core-scattered effects play an important role in multi-electron Rydberg atoms. 相似文献
5.
Semiclassical calculation of the recurrence spectra of He Rydberg atom in perpendicular electric and magnetic fields 下载免费PDF全文
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
6.
WANG De-Hua LIN Sheng-Lu WANG Mei-Shan YANG Chuan-Lu 《理论物理通讯》2006,46(3):545-552
We develop the semi-closed orbit theory from two degrees of freedom to three non-separable degrees of freedom and put forward a new model potential for the Li Rydberg atom, which reduces the study of the system to an effective one-particle problem. Using this model potential and the closed orbit theory for three degrees of freedom, we caiculate the recurrence spectra of Li Rydberg atom in perpendicular electric and magnetic fields. The closed orbits in the corresponding classicai system have also been obtained. The Fourier transformed spectra of Li atom have ailowed direct comparison between the resonance peaks and the scaied action values of closed orbits, whereas the nonhydrogenic resonance can be explained in terms of the new orbits created by the core scattering. Our result is in good agreement with the quantum spectra, which suggests that our calculation is correct. 相似文献
7.
Recurrence spectra of Li atom in strong external fields 总被引:1,自引:1,他引:0
Based upon our previous work [Commun. Theor. Phys.. 40,702 (2003)], we developed the closed orbit theory from two degrees of freedom to three non-separable degrees of freedom and calculated the recurrence spectra of Li Rydberg atom in strong perpendicular electric and magnetic fields. The Fourier transformed spectra of Li atom has 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 one, which suggests that our calculation is correct. 相似文献
8.
Recurrence spectra of non—hydrogen Rydberg atoms in paralled electric and magnetic fields 总被引:2,自引:0,他引:2 下载免费PDF全文
We present a new method for computing the recurrence spectra of n≈40, m=0 lithium Rydberg atoms in strong parallel external electric and magnetic fields. This method is based on an extended closed-orbit theory allowing the computation of the scattering of the electron by the ionic core. We pay particular attention to the scaling properties, which are extremely important for understanding the correspondence between classical and quantum mechanics. The spectra with a constant scaled electric field \tilde F=0.01 and a scaled energy ε=-0.03 are recorded and compared with those of hydrogen obtained by the standard closed-orbit theory. The result shows that the additional strong resonance structures can be interpreted in terms of the core-scattered classical closed orbits. 相似文献
9.
Recurrence spectra of He atoms in strong external fields 总被引:1,自引:0,他引:1
LIN Shenglu LI Hongyun WANG Dehua ZHAO Wenli & GAO Feng . Department of Physics Shandong Normal University Jinan China . Department of Mathematics Physics Shandong Institute of Architecture Engineering Jinan China 《中国科学G辑(英文版)》2004,47(4):477-484
1 Introduction The photo-absorption phenomenon of high Rydberg atoms in strong external fields has attracted much attention in recent years. The semiclassical closed-orbit theory[1,2] developed by Du and Delos has been extensively used to explain this phenomenon. This theory has successfully calculated and interpreted the photo-absorption spectra of H- in various external fields[3,4] and has been applied to describe the photo-excitation, wave packet dynamics of some atoms and molecules such… 相似文献
10.
Based on the closed orbit theory framework together with the quantum defect theory and time-independent scattering matrices
theory, we calculate the recurrence spectra of diamagnetic Cs atoms at several different scaled energies near the second ionization
threshold. It is revealed that the new extra peaks in spectra are attributed to the combination recurrences of semiclassical
closed orbits arising from core-scattered events. This method considers the dynamic states of the Rydberg electron in the
core region and long-range region and can be analytically resumed to include all orders of core-scattering automatically.
With this approach a convergent recurrence spectrum can be reasonably achieved. It is found that the spectral complexity depends
highly sensitively on the scaled energy. With the increase of the scaled energy, the spectral structure changes from simple
to complicate and the dynamic feature from regular to chaotic. The comparison of the recurrence spectra with Dando’s result
under the same conditions demonstrates that there exist some similarities and differences between them, and furthermore, the
feasibility of the scattering matrix method is explained.
Supported by the National Natural Science Foundation of China (Grant Nos. 10774093 and 10374061) 相似文献
11.
半经典闭合轨道理论已经成功地计算了在外加磁场和平行电磁场中的里德堡原子的回归谱.但对于垂直电磁场中的里德堡原子,理论和计算都变得更为复杂.本文把闭合轨道理论推广到三维情况,采用 B.Hüpper的模型势计算了ε=-0.03,主量子数n≈ 40,m=0下He原子在垂直电磁场中的光吸收谱和回归谱,并和H原子在垂直电磁场中的回归谱作比较,突出了实散射的贡献.计算中应用了离子实散射的分区自洽迭代方法,并考虑到轨道的多次重复和离子实的多次散射效应.这是对闭合轨道理论的验证和进一步推广. 相似文献
12.
WANGDe-Hua DINGShi-Liang 《理论物理通讯》2003,40(6):702-706
Closed-orbit theory is a semiclassical technique for explaining the spectra of Rydberg atoms in external fields. Using the dosed-orblt theory and classical perturbation theory, we calculate the scaled recurrence spectra of Lithium atom in magnetic field plus a weak perpendicular electric field. The results show when the crossed electric field is added, the recurrence spectra are weakened greatly. As the scaled electric field f increases, the peaks of the recurrence spectra lose strength. Some recurrences are very sensitive and fall off rapidly as f increases, others persist till much higher f. As the electric field is stronger, some of the peaks revive. This phenomenon, caused by the interference among the electron waves that return to the nucleus, can be computed from the azimuthal dependence of the classical closed orbits. 相似文献
13.
Closed-orbit theory is a semiclassical technique for explaining the spectra of Rydberg atoms in external fields. Using the closed-orbit theory and classical perturbation theory, we calculate the scaled recurrence spectra of Lithium atom in magnetic field plus a weak perpendicular electric field. The results show when the crossed electric field is added, the recurrence spectra are weakened greatly. As the scaled electric field f increases, the peaks of the recurrence spectra lose strength. Some recurrences are very sensitive and fall off rapidly as f increases; others persist till much higher f . As the electric field is stronger, some of the peaks revive. This phenomenon, caused by the interference among the electron waves that return to the nucleus, can be computed from the azimuthal dependence of the classical closed orbits. 相似文献
14.
Semiclassical calculation of Rydberg He2^+ molecular of recurrence spectra ion in a magnetic field 下载免费PDF全文
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
15.
GAO Song XU Xue-You LI Hong-Yun ZHANG Yan-Hui LIN Sheng-Lu 《理论物理通讯》2008,49(5):1291-1294
An extended harmonic inversion method is analytically continued to approach bifurcation region of the dosed orbits thus to obtain highly resolved spectra of lithium atom in external field. The suitable band-limited signal is generated by a semielassieal uniform approximation. By decimating the selected signal window and solving the algebraic set of nonlinear equations the quantum eigenvalues are properly fitted, which reveal the fine resonance structure hidden in low resolution spectrum. The study is made at the sealed energy ε= -2.7, relevant bifurcation effects and corescattered impacts have to be taken into account. It is demonstrated that the present method is a useful technique for the semiclassieal quantization of system with mixed regular-chaotic classical dynamics. 相似文献
16.
Short-ranged potential effects on the recurrence spectra of lithium M = 1 atoms in parallel electric and magnetic fields 下载免费PDF全文
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
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19.
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