High-accuracy splitting algorithms for the time-dependent Schrödinger equation with a train of laser pulses

A. A. Gusev; O. Chuluunbaatar; Sergey I. Vinitsky; M. S. Kaschiev

doi:10.1117/12.578913

13 July 2004 High-accuracy splitting algorithms for the time-dependent Schrodinger equation with a train of laser pulses

A. A. Gusev, O. Chuluunbaatar, Sergey I. Vinitsky, M. S. Kaschiev

Author Affiliations +

Proceedings Volume 5476, Saratov Fall Meeting 2003: Laser Physics and Photonics, Spectroscopy, and Molecular Modeling IV; (2004) https://doi.org/10.1117/12.578913
Event: Saratov Fall Meeting 2003, 2003, Saratov, Russian Federation

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.

Citation Download Citation

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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