辛格式在强激光场一维模型问题计算中的应用
Symplectic scheme in computing the one-dimensional model of strong laser field
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摘要: 将辛算法推广到复辛空间，指出了辛算法保定态Schr-dinger方程的Wronskian守恒。将辛算法应用于强场一维模型的计算中，并与Runge-Kutta法作了比较。结果显示，辛算法保持定态Schr-dinger方程的Wronskian守恒，适合于在充分 远空间上计算线性无关解，是计算强激光场一维模型的合理的数值方法。Abstract: The symplectic algorithm of Hamiltonian system is extended to the complex symplectic space. The numerical solutions of the 1-dimensional model of strong field are calculated by means of both symplectic and Runge-Kutta algorithms. The results show that the symplectical gorithm preserves the Wronskian, which is in good agreement with theoretical analyses, but the Wronskian calculated by using the Runge-Kutta algorithm increases rapidly after a long distance of computation. Therefore the symplectic algorit hm is a better algorithm for the calculations of the 1-dimensional model of strong field.
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Key words:
- wronskian /
- strong field /
- canonical equation /
- symplectic algorithm
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