中国物理B ›› 2008, Vol. 17 ›› Issue (2): 599-607.doi: 10.1088/1674-1056/17/2/040

• ATOMIC AND MOLECULAR PHYSICS • 上一篇    下一篇

Semiclassical calculation of recurrence spectra of Rydberg He2+ molecular ion in a magnetic field

王德华1, 宋新秀2, 丁世良2   

  1. (1)College of Physics and Electronic Engineering, Ludong University, Yantai 264025, China; (2)School of Physics and Microelectronics, Shandong University, Jinan 250100, China
  • 收稿日期:2007-05-13 修回日期:2007-08-11 出版日期:2008-02-20 发布日期:2008-02-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos 10604045 and 10674114) and the Doctoral Scientific Research Startup Foundation of Ludong University (Grant No 202-23000301).

Semiclassical calculation of recurrence spectra of Rydberg He2+ molecular ion in a magnetic field

Wang De-Hua(王德华)a)†, Song Xin-Xiu(宋新秀)b), and Ding Shi-Liang(丁世良)b)   

  1. a College of Physics and Electronic Engineering, Ludong University, Yantai 264025, China; b School of Physics and Microelectronics, Shandong University, Jinan 250100, China
  • Received:2007-05-13 Revised:2007-08-11 Online:2008-02-20 Published:2008-02-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos 10604045 and 10674114) and the Doctoral Scientific Research Startup Foundation of Ludong University (Grant No 202-23000301).

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摘要： 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.

Abstract: 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.

Key words: closed orbit theory, recurrence spectra, model potential

中图分类号:  (Semiclassical methods)

  • 31.15.xg
34.80.Bm (Elastic scattering) 34.80.Dp (Atomic excitation and ionization) 32.80.Rm (Multiphoton ionization and excitation to highly excited states)