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- Title
Time-dependent Schrödinger Equation based on HO-FDTD Schemes.
- Authors
Zhu, M.; Huo, F. F.; Niu, B.
- Abstract
A high order finite-different time-domain methods using Taylor series expansion for solving timedependent 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.
- Subjects
TIME-dependent Schrodinger equations; FINITE difference time domain method; TAYLOR'S series; WAVE functions; POTENTIAL well
- Publication
Applied Computational Electromagnetics Society Journal, 2021, Vol 36, Issue 8, p964
- ISSN
1054-4887
- Publication type
Article
- DOI
10.47037/2021.ACES.J.360803