中国物理B ›› 2004, Vol. 13 ›› Issue (4): 464-468.doi: 10.1088/1009-1963/13/4/009

• GENERAL • 上一篇    下一篇

Semiclassical calculation of the recurrence spectra of He Rydberg atom in perpendicular electric and magnetic fields

王德华1, 林圣路2   

  1. (1)Department of Mathematics and Physics, Shandong Institute of Architecture and Engineering, Jinan 250014, China; (2)Department of Physics, Shandong Normal University, Jinan 250014, China
  • 收稿日期:2003-08-15 修回日期:2003-10-13 出版日期:2005-04-22 发布日期:2004-04-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 10374061).

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   

  1. 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
  • Received:2003-08-15 Revised:2003-10-13 Online:2005-04-22 Published:2004-04-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 10374061).

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摘要： 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.

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.

Key words: closed orbit theory, recurrence spectra, core scattering

中图分类号:  (Semiclassical methods)

  • 31.15.xg
32.30.-r (Atomic spectra?) 32.70.Cs (Oscillator strengths, lifetimes, transition moments)