Journal of Systems Engineering and Electronics ›› 2010, Vol. 32 ›› Issue (10): 2121-2123.doi: 10.3969/j.issn.1001-506X.2010.10.22

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Solution of time-dependent Shrodinger equation based on finite difference time domain method

KUANG Xiaojing1,2，WU Xianliang2，HUANG Zhixiang1，CHEN Mingsheng2   

  1. 1. School of Electronic Science and Technology, Anhui Univ., Hefei 230039, China;
    2. Dept. of Physics and Electronic Engineering, Hefei Teachers College, Hefei 230061, China
  • Online:2010-10-10 Published:2010-01-03

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Abstract:

The finite difference time domain (FDTD) method is widely used in numerical simulation of electromagnetic fields, and it is combined with quantum mechanics to solve the time-dependent Schrodinger equation. Nevertheless, researches in stability numerical computation often lack theoretical support. This paper mainly deals with the stability condition starting from one-dimensional and multi-dimensional time-dependent Schrodinger equations based on von Neumann stability analysis. Especially, different cases of potential energy are investigated to obtain the expressions. Numerical results show the correctness of the conclusion.

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