Abstract

We discuss a Faddeev-like iterative approach which allows one to consistently include the Coulomb potential in strong field phenomena through a Born series. To assess the validity of this approach, we calculate the probability of excitation to given states of atomic hydrogen exposed to radiation pulses of various frequencies, durations and peak intensities and compare our results with those obtained by solving numerically the time-dependent Schrödinger equation. We obtain excellent agreement for a range of frequencies. As the frequency decreases, many high-order terms have to be included in order to get convergence of the Born series. Our results indicate that this Faddeev-like method is particularly suitable to treat the interaction of atoms with attosecond pulses. For the lowest frequency considered (\(\omega = 0.057\) a.u.), we study in more detail the re-collision-based frustrated tunneling process in atomic hydrogen and compare our results with those existing in the literature.

Graphic Abstract

中文翻译：

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激光-原子相互作用中库仑势的迭代处理

摘要

我们讨论了一种类似 Faddeev 的迭代方法，该方法允许通过波恩级数在强场现象中始终包含库仑势。为了评估这种方法的有效性，我们计算了原子氢暴露于各种频率、持续时间和峰值强度的辐射脉冲的给定状态的激发概率，并将我们的结果与通过数值求解与时间相关的薛定谔方程获得的结果进行比较。我们在一系列频率上获得了极好的一致性。随着频率的降低，为了得到玻恩级数的收敛，必须包含许多高阶项。我们的结果表明，这种类似 Faddeev 的方法特别适用于处理原子与阿秒脉冲的相互作用。对于考虑的最低频率 ( \(\omega = 0.057\) au），我们更详细地研究了原子氢中基于再碰撞的挫败隧穿过程，并将我们的结果与文献中的结果进行了比较。

图形摘要