Canonical symplectic structure and structure-preserving geometric algorithms for Schrödinger-Maxwell systems

DOI10.1016/j.jcp.2017.08.033zbMath1380.81454arXiv1611.08955OpenAlexW2557618240MaRDI QIDQ1695369

Peng Zhang

Publication date: 7 February 2018

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.08955

zbMATH Keywords

geometric algorithmssymplectic structureSchrödinger-Maxwell equationsdiscrete Poisson bracketfirst-principle simulation

Mathematics Subject Classification ID

Electromagnetic interaction; quantum electrodynamics (81V10) Geometry and quantization, symplectic methods (81S10) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Electromagnetic theory (general) (78A25)

Related Items (3)

Variational formulation of classical and quantum models for intense laser pulse propagation ⋮ Multiscale Algorithms and Computations for the Time-Dependent Maxwell--Schrödinger System in Heterogeneous Nanostructures ⋮ Existence of weak solutions for the Schrödinger equation and its application

Uses Software

• GEMPIC

Cites Work

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• High-order symplectic FDTD scheme for solving a time-dependent Schrödinger equation
• A perfectly matched layer for the absorption of electromagnetic waves
• Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media
• Composition Methods for Differential Equations with Processing

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