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Ionization of 1-D model atom in an intense laser field based on asymptotic boundary conditions and symplectic algorithm

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Abstract

In this paper the asymptotic boundary condition (ABC) of 1-D model atom in the intense laser field at the spatial sufficiently far distance is presented using Fourier transformation on the condition that the initial state is local and the atomic potential in the model falls off rapidly. On the basis of this ABC, the symplectic algorithm is developed for computing the model atom in the intense laser field. The ABC and symplectic algorithm are applied to compute the ionization behaviors for 1-D Pöschl–Teller short-range potential. The numerical results illustrate that the ABC and the symplectic algorithm presented are reasonable and effective for 1-D model atom in the intense laser field.

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Projects supported by the National Natural Science Foundation of China (10171039, 10074019), and by The Special Funds for Major State Basic Research Projects (G1999032804) and by the Research start Foundation of Jiaxing University (70504045)

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Authors and Affiliations

  1. School of Electrical Engineering, Jiaxing University, Jiaxing, 314001, People’s Republic of China

    Yue-Ying Qi

  2. Institute of Atomic and Molecular Physics, Jilin University, Changchun, 130012, People’s Republic of China

    Yue-Ying Qi, Xue-Shen Liu, Xiao-Yan Liu & Pei-Zhu Ding

  3. Department of Mathematics, Northeast Normal University, Changchun, 130024, People’s Republic of China

    Xiao-Yan Liu

Authors
  1. Yue-Ying Qi
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  2. Xue-Shen Liu
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  3. Xiao-Yan Liu
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  4. Pei-Zhu Ding
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Correspondence to Yue-Ying Qi.

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Qi, YY., Liu, XS., Liu, XY. et al. Ionization of 1-D model atom in an intense laser field based on asymptotic boundary conditions and symplectic algorithm. J Math Chem 39, 133–149 (2006). https://doi.org/10.1007/s10910-005-9009-1

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  • DOI: https://doi.org/10.1007/s10910-005-9009-1

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