RK-HO-FDTD Scheme for Solving Time-dependent Schrodinger Equation

Authors

  • Min Zhu School of Electronic and Information Engineering Jinling Institute of Technology, Nanjing, 211169, China
  • Yi Wang College of Electronic and Information Engineering Nanjing University of Aeronautics and Astronautics, Nanjing, 211106, China

Keywords:

Dispersion, potential well, RK-HOFDTD, stability, the Schrodinger equation

Abstract

The Runge-Kutta high-order finite-difference time-domain (RK-HO-FDTD) method is adopted to solve the time-dependent Schrodinger equation. The update equations of the RK-HO-FDTD method have been presented for wave function. The simulation results of the 1D potential well strongly confirm the advantages of the RK-HO-FDTD scheme over the conventional FDTD.

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References

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Published

2021-10-21

How to Cite

[1]
M. . Zhu and Y. . Wang, “RK-HO-FDTD Scheme for Solving Time-dependent Schrodinger Equation”, ACES Journal, vol. 36, no. 08, pp. 968–972, Oct. 2021.

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