Numerical Study of 2-dimensional Time Dependent Schrödinger Equation

CHINESE JOURNAL OF COMPUTATIONAL PHYSICS ›› 2011, Vol. 28 ›› Issue (5): 737-742.

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Numerical Study of 2-dimensional Time Dependent Schrödinger Equation

ZHANG Chunli¹, CHEN Suhua¹, YANG Zhenyu¹, CHE Jixin²

1. Electric and Information Engineering College, Xuchang University, Xuchang 461000, China;
2. Aviation University of Air Force, Changchun 130022, China

Received:2010-09-25 Revised:2011-02-18 Online:2011-09-25 Published:2011-09-25
Supported by:
Supported by National Science Foundation of China(Grant No.10947122)

Abstract

Abstract: 2-dimensional(2-D)asymptotic boundary condition(ABC) of 2-D time.dependent SchrOdinger equation (TDSE)for atoms in an arbitrary polarized laser field is investigated.The condition is obtained bv means of Fourier transformation,and the 2-D TDSE is discretized into a linear canonical equation solved via symplectic algorithm.An arbitrary polarized laser。atom interaction is also investigated.Calculated h讪order harmonic generation(HHG)spectra in good agreement with theoretical results.

Key words: 2-dimensional asymptotic boundary condition, symplectic algorithm, arbitrary polarization, high-order harmonic generation

CLC Number:

O562

ZHANG Chunli, CHEN Suhua, YANG Zhenyu, CHE Jixin. Numerical Study of 2-dimensional Time Dependent Schrödinger Equation[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2011, 28(5): 737-742.

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Numerical Study of 2-dimensional Time Dependent Schrödinger Equation

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