伪谱-泰勒级数法在求解含时薛定谔方程中的应用——氢原子在强激光场中的高次谐波谱  

Pseudospectra-Taylor Series Method for Solution of Time-Dependent Schrdinger Equation——Application to High Order Harmonic Generation Spectra of Hydrogen in Intense Laser Fields

作　　者：舒畅[1] 刘海林[1] 田志东[1] 杨明[1] 乔豪学[1] 

机构地区：[1]武汉大学物理科学与技术学院,湖北武汉430072

出　　处：《武汉大学学报（理学版）》2004年第3期315-319,共5页Journal of Wuhan University:Natural Science Edition

基　　金：国家自然科学基金资助项目(10374074)

摘　　要：给出了一种新的求解含时薛定谔方程的伪谱 泰勒级数方法,该方法把氢原子的含时波函数在少量分布稀疏的网格点上做拟合,结合基于泰勒级数展开的时间演化法,用相对简单的计算得到了包括时间演化步长Δt高阶项贡献的含时波函数.并将该方法用于强激光场中氢原子含时波函数和高次谐波谱的计算,得到了与经典三步模型解释以及实验现象相符的结果.A new Pseudospectra-Taylor series method for solving the time-dependent Schr?dinger (equation) has been developed and applied to the atom in intense laser fields. By using this method, the time-dependent wave functions are determined by Pseudospectra-Taylor series method with sparse discrete mesh points. And the high accuracy wave functions with contribution of high-order-term of Δt are obtained by (using) Taylor series expand method. Our method is illustrated by computing high order harmonic generation spectra of model-hydrogen in laser fields, and the results agreement to other calculations are obtained.

关 键 词：伪谱-泰勒级数法 强激光场 高次谐波 

分 类 号：O413.1[理学—理论物理]