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The closed-orbit and the photoabsorption spectra of the Rydberg hydrogen atom between two parallel metallic surfaces

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Chinese Physics B 2007年第3期16卷 692-699页

作者：王德华 College of Physics and Electronic Engineering Ludong University Yantai 264025 China

Using the closed orbit theory, we study the classical motion and calculatethe photoabsorption spectra of Rydberg hydrogen atom between two parallel metallic surfaces. The results show that the metallic surfaces have a significant effect on the photoabsorption process. When the distances between the hydrogen atom and the two metallic surfaces are close to a critical value dc, the number of the closed orbits is the greatest. When the distance larger or smaller than dc, the number of the closed orbits decreases and the absorption spectra are shown to exhibit a damping oscillation. This work is an interesting new application of closed-orbit theory and is of potential experimental interest.

关键词： closed orbit photoabsorption spectra metallic surface

The closed orbits of a Class of Cubic Vector Fields in R^(3)

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Acta Mathematica Sinica,English Series 2020年第12期36卷 1429-1440页

作者： Hong Yan YIN Da ZHOU Xing An ZHANG School of Mathematics and Statistics Central China Normal UniversityWuhan 430079P.R.China School of Mathematics and Statistics South-Central University for NationalitiesWuhan 430074P.R.China School of Mathematical Sciences Xiamen UniversityXiamen 361005P.R.China

In this paper,we investigate the isolated closed orbits of two types of cubic vector fields in R^3 by using the idea of central projection transformation,which sets up a bridge connecting the vector field X(x)in R^3 with the planar vector *** have proved that the cubic vector field in R^3 can have two isolated closed orbits or one closed orbit on the invariant *** an application of this result,we have shown that a class of 3-dimensional cubic system has at least 10 isolated closed orbits located on 5 invariant cones,and another type of 3-dimensional cubic system has at least 26 isolated closed orbits located on 13 invariant cones or 26 invariant cones.

关键词： closed orbit central projection transformation tangent vector field invariant cone

closed orbits and limit cycles of second—order autonomous Birkhoff systems

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Chinese Physics B 2003年第6期12卷 586-589页

作者：陈向炜 DepartmentofPhysics ShangqiuTeachersCollegeShangqiu476000China

In this paper, the existence of periodic orbits and the non-existence of limit cycles for the second-order autonomous Birkhoff system are studied. Further the existence of algebraic limit cycles for a generalized seco... 详细信息

关键词： Birkhoff system equation of motion singular point closed orbit limit cycle

BIFURCATION OF PERIODIC orbitS OF A THREE-DIMENSIONAL SYSTEM

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Chinese Annals of Mathematics,Series B 2005年第2期26卷 253-274页

作者： LIUXUANLIANG HANMAOAN DepartmentofMathematics ShanghaiJiaoTongUniversityShanghai200240China.

Consider a three-dimensional system having an invariant surface. By using bifurca- tion techniques and analyzing the solutions of bifurcation equations, the authors study the spacial bifurcation phenomena of a k multiple closed orbit in the invariant surface. The su?cient conditions of the existence of many closed orbits bifurcate from the k multiple closed orbit are obtained.

关键词： Bifurcation Invariant surface Three-dimensional system closed orbit

Semiclassical Calculation of Recurrence Spectra of Rydberg Hydrogen Atom Near a Metal Surface

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Communications in Theoretical Physics 2009年第2期51卷 310-314页

作者： WANG De-Hua School of Physics and Electronic Engineering Ludong University Yantai 264025 China

Using closed orbit theory, we give a clear physical picture description of the Rydberg hydrogen atom near a metal surface and calculate the Fourier transformed recurrence spectra of this system at different scaled energies below ionization threshold. The results show that with the increase of the scaled energy, the number of the closed orbit increases greatly. Some of the orbits are created by the bifurcation of the perpendicular orbit. This case is quite similar to the Rydberg atom in an electric field. When the scaled energy increases furthermore, chaotic orbits appear. This study provides a different perspective on the dynamical behavior of the Rydberg atom near a metal surface.

关键词： recurrence spectra closed orbit bifurcation metal surface