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Error of finite basis expansions in time-dependent calculations of atom-laser interaction

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Phys. Rev. E 72 , 036704 (2005) Mathias Uhlmann, Thomas Kunert, and Rudiger Schmidt

We propose a method to quantitatively estimate the error made with a finite basis expansion in time-dependent calculations. This method is applied to the hydrogen atom in intense laser fields and used to compare different basis sets with each other. We also show how to construct a Gaussian basis set suitable for the description of ionization dynamics in intense laser fields.

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