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

用关上的轨道理论，我们在金属表面附近给对 Rydberg 氢原子的清楚的物理图画描述并且推测 Fourier 在电离阀值下面在不同放大精力转变了这个系统的复发系列。结果证明随放大精力的增加，关上的轨道的数字极大地增加。一些轨道被垂直轨道的分叉创造。这个盒子相当类似于在一个电场的 Rydberg 原子。当放大能量而且增加时，混乱轨道出现。这研究在金属表面附近在 Rydberg 原子的动态行为上提供一个不同观点。

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.