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- W2082942855 abstract "In this work we present the theoretical framework for the solution of the time-dependent Schrodinger equation (TDSE) of atomic and molecular systems under strong electromagnetic fields with the configuration space of the electron's coordinates separated over two regions; that is, regions I and II. In region I the solution of the TDSE is obtained by an $R$-matrix basis set representation of the time-dependent wave function. In region II a grid representation of the wave function is considered and propagation in space and time is obtained through the finite-difference method. With this, a combination of basis set and grid methods is put forward for tackling multiregion time-dependent problems. In both regions, a high-order explicit scheme is employed for the time propagation. While, in a purely hydrogenic system no approximation is involved due to this separation, in multielectron systems the validity and the usefulness of the present method relies on the basic assumption of $R$-matrix theory, namely, that beyond a certain distance (encompassing region I) a single ejected electron is distinguishable from the other electrons of the multielectron system and evolves there (region II) effectively as a one-electron system. The method is developed in detail for single active electron systems and applied to the exemplar case of the hydrogen atom in an intense laser field." @default.
- W2082942855 created "2016-06-24" @default.
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- W2082942855 date "2008-12-22" @default.
- W2082942855 modified "2023-09-27" @default.
- W2082942855 title "Combined<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mi>R</mml:mi></mml:math>-matrix eigenstate basis set and finite-difference propagation method for the time-dependent Schrödinger equation: The one-electron case" @default.
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- W2082942855 doi "https://doi.org/10.1103/physreva.78.063420" @default.
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