中国物理B ›› 2016, Vol. 25 ›› Issue (3): 33203-033203.doi: 10.1088/1674-1056/25/3/033203

• ATOMIC AND MOLECULAR PHYSICS • 上一篇    下一篇

Quantum and semiclassical studies on photodetachment cross sections of H- in a harmonic potential

Hai-Jun Zhao(赵海军), Wei-Long Liu(刘伟龙), Meng-Li Du(杜孟利)   

  1. 1. School of Physics and Information Science and Center for Molecules Research, Shanxi Normal University, Linfen 041004, China;
    2. State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190, China
  • 收稿日期:2015-11-12 修回日期:2015-12-09 出版日期:2016-03-05 发布日期:2016-03-05
  • 通讯作者: Meng-Li Du E-mail:duml@itp.ac.cn
  • 基金资助:

    Project supported by the National Natural Science Foundation of China (Grant Nos. 11421063 and 11474079), the Natural Science Foundation of Shanxi Province, China (Grant No. 2009011004), and the Program for the Top Young Academic Leaders of Higher Learning Institutions of Shanxi Province, China.

Quantum and semiclassical studies on photodetachment cross sections of H- in a harmonic potential

Hai-Jun Zhao(赵海军)1, Wei-Long Liu(刘伟龙)1, Meng-Li Du(杜孟利)2   

  1. 1. School of Physics and Information Science and Center for Molecules Research, Shanxi Normal University, Linfen 041004, China;
    2. State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190, China
  • Received:2015-11-12 Revised:2015-12-09 Online:2016-03-05 Published:2016-03-05
  • Contact: Meng-Li Du E-mail:duml@itp.ac.cn
  • Supported by:

    Project supported by the National Natural Science Foundation of China (Grant Nos. 11421063 and 11474079), the Natural Science Foundation of Shanxi Province, China (Grant No. 2009011004), and the Program for the Top Young Academic Leaders of Higher Learning Institutions of Shanxi Province, China.

摘要:

The photodetachment cross section of H- in a linear harmonic oscillator potential is investigated. This system provides a rare example that can be studied analytically by both quantum and semiclassical methods with some approximations. The formulas of the cross section for different laser polarization directions are explicitly derived by both the traditional quantum approach and closed-orbit theory. In the traditional quantum approach, we calculate the cross sections in coordinate representation and momentum representation, and get the same formulas. We compare the quantum formulas with closed-orbit theory formulas, and find that when the detachment electron energy is larger than 3/2ħω, where ω is the frequency of the oscillator potential, the quantum results are shown to be in good agreement with the semiclassical results.

关键词: photodetachment, harmonic oscillator potential, closed-orbit theory

Abstract:

The photodetachment cross section of H- in a linear harmonic oscillator potential is investigated. This system provides a rare example that can be studied analytically by both quantum and semiclassical methods with some approximations. The formulas of the cross section for different laser polarization directions are explicitly derived by both the traditional quantum approach and closed-orbit theory. In the traditional quantum approach, we calculate the cross sections in coordinate representation and momentum representation, and get the same formulas. We compare the quantum formulas with closed-orbit theory formulas, and find that when the detachment electron energy is larger than 3/2ħω, where ω is the frequency of the oscillator potential, the quantum results are shown to be in good agreement with the semiclassical results.

Key words: photodetachment, harmonic oscillator potential, closed-orbit theory

中图分类号:  (Photodetachment of atomic negative ions)

  • 32.80.Gc
03.65.Sq (Semiclassical theories and applications) 31.15.xg (Semiclassical methods)