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physics.atom-ph2008★ 43 cited
A combined R-matrix eigenstate basis set and finite-differences propagation method for the time-dependent Schr\"{od}dinger equation: the one-electron case
L. A. A. Nikolopoulos, J. S. Parker, K. T. Taylor
In this work we present the theoretical framework for the solution of the time-dependent Schrödinger equation (TDSE) of atomic and molecular systems under strong electromagnetic fi…
physics.atom-ph2006★ 78 cited
Solving the m-mixing problem for the three-dimensional time-dependent Schrödinger equation by rotations: application to strong-field ionization of H2+
T. K. Kjeldsen, L. A. A. Nikolopoulos, L. B. Madsen
We present a very efficient technique for solving the three-dimensional time-dependent Schrodinger equation. Our method is applicable to a wide range of problems where a fullly thr…