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- W4309352876 abstract "The interaction between the electromagnetic wave and particles can be described by coupled Maxwell–Schrodinger (M–S) equations, while the time evolution of multiscale coupled M–S system needs more iteration time steps when compared to that of a pure EM system, and the numerical dispersion error has become the critical issues. Here we present a novel unified Hamiltonian approach with the vector potential under the Coulomb gauge to solve Maxwell–Schrödinger equation, the coupled M–S system is well posed and symplectic, which ensures energy-conserving property during the time evolution. For numerical examples of multi-physical problems, involving lossy media, inhomogeneous medium, and free space, the Rabi oscillation of microscopic particles in a two-level system is investigated to demonstrate the advantages of the proposed symplectic finite difference time-domain (FDTD) method, particularly the numerical accuracy and long-time stability. The results indicate our proposed unified Hamiltonian approach for Maxwell–Schrodinger (M–S) equations enable us to consider the actual QM-EM environment." @default.
- W4309352876 created "2022-11-26" @default.
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- W4309352876 date "2022-11-01" @default.
- W4309352876 modified "2023-10-12" @default.
- W4309352876 title "<scp>T</scp> he Symplectic <scp>FDTD</scp> Method for <scp>M</scp> axwell and <scp>S</scp> chrödinger Equations" @default.
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- W4309352876 doi "https://doi.org/10.1002/9781119808404.ch15" @default.
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