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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. 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 |
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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.
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Received: 12 November 2015
Revised: 09 December 2015
Accepted manuscript online:
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PACS:
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32.80.Gc
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(Photodetachment of atomic negative ions)
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03.65.Sq
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(Semiclassical theories and applications)
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31.15.xg
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(Semiclassical methods)
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| Fund: 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. |
Corresponding Authors:
Meng-Li Du
E-mail: duml@itp.ac.cn
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Cite this article:
Hai-Jun Zhao(赵海军), Wei-Long Liu(刘伟龙), Meng-Li Du(杜孟利) Quantum and semiclassical studies on photodetachment cross sections of H- in a harmonic potential 2016 Chin. Phys. B 25 033203
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