Aleksandr V. Boitsov, Karen Z. Hatsagortsyan, Christoph H. Keitel
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引用次数: 0
Abstract
The coordinate scaling method, previously developed for the numerical solution of the time-dependent Schrodinger equation, is generalized for the numerical treatment of the atomic ionization problem in relativistically strong laser fields, developing the prototype of the method for a one-dimensional case. To enable the use of the scaling method in relativistic settings, the Foldy-Wouthuysen transformation is employed in Silenko's form within the quasiclassical approximation, reducing the one-dimensional time-dependent Dirac equation (TDDE) to the square root Klein-Gordon-like equation. We demonstrate the computational advantage of the relativistic scaling method over the standard direct implementation of the TDDE solution, especially in the case of an applied non-uniform mesh.
期刊介绍：
The focus of CPC is on contemporary computational methods and techniques and their implementation, the effectiveness of which will normally be evidenced by the author(s) within the context of a substantive problem in physics. Within this setting CPC publishes two types of paper.
Computer Programs in Physics (CPiP)
These papers describe significant computer programs to be archived in the CPC Program Library which is held in the Mendeley Data repository. The submitted software must be covered by an approved open source licence. Papers and associated computer programs that address a problem of contemporary interest in physics that cannot be solved by current software are particularly encouraged.
Computational Physics Papers (CP)
These are research papers in, but are not limited to, the following themes across computational physics and related disciplines.
mathematical and numerical methods and algorithms;
computational models including those associated with the design, control and analysis of experiments; and
algebraic computation.
Each will normally include software implementation and performance details. The software implementation should, ideally, be available via GitHub, Zenodo or an institutional repository.In addition, research papers on the impact of advanced computer architecture and special purpose computers on computing in the physical sciences and software topics related to, and of importance in, the physical sciences may be considered.
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