摘要
A B-spline with the symplectic algorithm method for the solution of time-dependent Schrodinger equations （TDSEs） is introduced. The spatial part of the wavefunction is expanded by B-spline and the time evolution is given in a symplectic scheme. This method allows us to obtain a highly accurate and stable solution of TDSEs. The effectiveness and efficiency of this method is demonstrated by the high-order harmonic spectra of one-dimensional atoms in comparison with other references.
有 oftime 依赖的 Schrodinger 方程(TDSE ) 被介绍的为答案的 symplectic 算法方法的 B 花键。波浪功能的空间部分被 B 花键扩展，时间进化在一个 symplectic 计划被给。这个方法允许我们获得 TDSE 的一个高度精确、稳定的答案。这个方法的有效性和效率被一个维的原子的高顺序的泛音系列与另外的参考书比较表明。
基金
Supported by the National Natural Science Foundation of China under Grant No 10374119, and the 0ne-Hundred-Talents Project of Chinese Academy of Science. ACKN0WLEDGMENTS： We gratefully acknowledge Professors Ding Peizhu and Liu Xueshen for their hospitality and help with the symplectic al- gorithm.
