Time-dependent Schrödinger Equation based on HO-FDTD Schemes

Authors

  • M. Zhu School of Electronic and Information Engineering Jinling Institute of Technology, Nanjing, 211169, China
  • F. F. Huo School of Electronic and Information Engineering Jinling Institute of Technology, Nanjing, 211169, China
  • B. Niu School of Electronic and Information Engineering Jinling Institute of Technology, Nanjing, 211169, China

Keywords:

HO-FDTD, numerical dispersion, stability, the Schrödinger equation

Abstract

A high order finite-different time-domain methods using Taylor series expansion for solving time-dependent Schrödinger equation has been systematically discussed in this paper. Numerical characteristics have been investigated of the schemes for the Schrödinger equation. Compared with the standard Yee FDTD scheme, the numerical dispersion has been decreased and the convergence has been improved. The general update equations of the methods have been presented for wave function. Numerical results of potential well in one-dimension show that the application of the schemes is more effective than the Yee’s FDTD method and the higher order has the better numerical dispersion characteristics.

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Published

2021-10-21

How to Cite

Zhu, M. ., Huo, F. F. ., & Niu, B. . (2021). Time-dependent Schrödinger Equation based on HO-FDTD Schemes. The Applied Computational Electromagnetics Society Journal (ACES), 36(08), 964–967. Retrieved from https://journals.riverpublishers.com/index.php/ACES/article/view/11751

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