Semiclassical calculation of the recurrence spectra of He Rydberg atom in perpendicular electric and magnetic fields
Wang De-Hua (王德华)a, Lin Sheng-Lu (林圣路)b
a Department of Mathematics and Physics, Shandong Institute of Architecture and Engineering, Jinan 250014, China; b Department of Physics, Shandong Normal University, Jinan 250014, China
Abstract 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.
Received: 15 August 2003
Revised: 13 October 2003
Accepted manuscript online:
Fund: Project supported by the National Natural Science Foundation of China (Grant No 10374061).
Cite this article:
Wang De-Hua (王德华), Lin Sheng-Lu (林圣路) Semiclassical calculation of the recurrence spectra of He Rydberg atom in perpendicular electric and magnetic fields 2004 Chinese Physics 13 464
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