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13 July 2004 High-accuracy splitting algorithms for the time-dependent Schrodinger equation with a train of laser pulses
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Abstract
High accuracy splitting algorithms based on the unitary approximations of the evolution operator for the time-dependent Schrodinger equation (TDSE) with a train of laser pulses are developed. The efficiency of the algorithms is shown using typical examples of a hydrogen atom affected by a train of laser pulses in the dipole approximation and an additional constant magnetic field. The stabilization effects are discussed.
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A. A. Gusev, O. Chuluunbaatar, Sergey I. Vinitsky, and M. S. Kaschiev "High-accuracy splitting algorithms for the time-dependent Schrodinger equation with a train of laser pulses", Proc. SPIE 5476, Saratov Fall Meeting 2003: Laser Physics and Photonics, Spectroscopy, and Molecular Modeling IV, (13 July 2004); https://doi.org/10.1117/12.578913
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