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

作　　者：赵海军 刘伟龙 杜孟利 

机构地区：[1]School of Physics and Information Science and Center for Molecules Research,Shanxi Normal University [2]State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics,Chinese Academy of Sciences

出　　处：《Chinese Physics B》2016年第3期150-155,共6页中国物理B（英文版）

基　　金：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);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 pro- vides a rare example that can be studied analytically by both quantum and semiclassical methods with some approxi- mations. 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 hco, where co is the frequency of the oscillator potential, the quantum results are shown to be in good agreement with the semiclassical results.The photodetachment cross section of H- in a linear harmonic oscillator potential is investigated. This system pro- vides a rare example that can be studied analytically by both quantum and semiclassical methods with some approxi- mations. 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 hco, where co 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 

分 类 号：O413[理学—理论物理]