Although single-photon double ionization of Helium is well understood theoretically as well as experimentally, much rema ins to be done in the multiphoton regime, especially when it comes to ab initio approaches. Even two-photon double ionization within perturbation theory represents practically unchartered territory, with formidable difficulties. We review here recent progress formulated in terms of discretized bases constructed as linear combinations of B-splines. After a brief outline of the main aspects of the method, we present a number of illustrative results including an attempt at solving the time-dependent Schrodinger equation. Our work on He is complementary to that of Taylor and collaborators. Finally, we discuss the application of the same techniques to the study of the strong coupling between triply excited hollow states in Lithium.
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机译：尽管理论上的氦的单光子双电离很好地理解，但是在实验上理解，但在多光子制度中进行了许多Rema Ins，特别是在AB In Initio方法中进行。扰动理论内的两个光子双电离甚至代表实际上造成强大的难题。我们在这里审查了在这里构成的可离散基础的进展，构建为B样条线的线性组合。在该方法的主要方面的简要概述之后，我们提出了许多说明性结果，包括解决时间依赖的Schrodinger方程的尝试。我们对他的工作与泰勒和合作者的互补。最后，我们讨论了相同技术的应用在锂锂中三个激发空心状态之间的强耦合研究。
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