%0 Journal Article %T 长脉冲激光场中H原子的阈上电离的理论研究<br>Theory study of above-threshold ionization of H atom in the long pulse laser field %A 孙长平 %A 崔宝凤 %A 路宝凤 %J 原子与分子物理学报 %D 2017 %X 利用基于密度泛函理论下的窗算符技术求解含时薛定谔方法计算了H原子在长脉冲强激光场中能量谱, 并与文献[8]中的动量空间的投影技术方法的计算结果进行了比较。在文献[8]给出的最大光电子能量范围内,我们的计算结果与文献[8]中的计算结果符合得很好,但是我们的计算结果能够给出比文献[8]中能量更高的光电子能谱,光电子能量谱的变化趋势也与实际的物理过程相符。同时我们也给出了最大光电子能量与激光强度关系的经验公式,利用我们的经验公式计算的最大光电子能量与经典计算预测的最大光电子能量符合得很好,这表明们的计算方法可靠,能够给出高精度的计算结果。因此利用基于密度泛函理论下的窗算符方法能很好地用来研究H原子在长脉冲强激光场中的阈上电离的性质。<br>The energy spectra of the hydrogen atom in long pulse and intense laser fields were accurately calculated by numerical solving the time-dependent Schr?dinger equation combined with the window-operator technique based on density functional theory. The calculated results were compared with those calculated with the projection technology method in coordinate momentum space in literature [8]. In the maximum photoelectron energy range given in this literature, a good agreement between our results and those in literature [8] is obtained, but our results can give the higher photoelectron energy spectra than those in literature [8], and the change trend of photoelectron energy spectra is consistent with the actual physical process. At the same time we also gave the empirical formula of the relation between the maximum photoelectron energy and the laser intensity. The maximum photoelectron energies calculated using our empirical formula are in good agreement with those predicted by the classical calculations. It is shown that our calculation method is reliable and can give the results with higher accuracy. Therefore, the window-operator technique based on density functional theory can be used to study the properties of the H atom in the long pulse and strong laser field. %K 阈上电离 含时薛定谔方程 窗算符技术 能量谱< %K br> %K above-threshold ionization %K time-dependent Schr? dinger equation %K window-operator technique %K energy spectra %U http://jamp.ijournals.cn/jamp/ch/reader/view_abstract.aspx?file_no=15251&flag=1