针对单电子H2+和双电子H3+系统，采用对称分裂算符法求解波函数的时间演化。计算了电子的含时频谱和体系的高次谐波谱，结果表明：电子频谱和高次谐波谱呈互补规律，即电子频谱峰值出现在基波的偶数倍频率位置，高次谐波则出现在奇数位置。对高次谐波谱随软化库仑参数的变化规律进行了数值研究，发现只在软化库仑参数的一定范围内才产生高次谐波，对该现象作了解释。

The paper presents our numerical simulations on single-electron H2+ and two-electron H3+ systems with the symmetric split operator technique. The results show that the electron spectra are complementary to the conventional high-harmonic generation(HHG) spectra: the electron spectra feature peaks located at even harmonics, while the HHG spectra’ peaks are at odd-numbered positions. Only limited values of the core-softening parameter can support HHG, and some preliminary explanation is given.