Freiburg 2024 – scientific programme

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A: Fachverband Atomphysik

A 33: Poster VI

A 33.9: Poster

Thursday, March 14, 2024, 17:00–19:00, Tent A

The scaling method for the numerical solution of the relativistic ionization problem — •Aleksandr V. Boitsov, Karen Z. Hatsagortsyan, and Christoph H. Keitel — Max-Planck-Institut für Kernphysik, Saupfercheckweg 1, 69117 Heidelberg, Germany

The coordinates scaling method, previously applied to the numerical solution of the time-dependent Schrodinger equation (TDSE), is generalized for the numerical solution of the problem of an atom ionization in a relativistically strong laser field. As a first step, we focus on a one-dimensional implementation of the general idea. To facilitate the use of the scaling method, Foldy-Wouthuysen transformation is applied in Silenko's form within the quasiclassical approximation, reducing time-dependent Dirac equation (TDDE) to the square-root Klein-Gordon-like equation. The problems related to the use of nonuniform grid in the scaling method are analyzed. Comparison with known solutions of TDDE is provided.

Keywords: TDSE; TDDE; Scaling coordinates; Ionization; Foldy-Wouthuysen