High-order symplectic FDTD scheme for solving a time-dependent Schrödinger equation

DOI10.1016/j.cpc.2012.09.032zbMath1302.65199OpenAlexW2009375231WikidataQ57967199 ScholiaQ57967199MaRDI QIDQ483837

Jing Shen, Mingsheng Chen, Xianliang Wu, Wei E. I. Sha, Zhi Xiang Huang

Publication date: 17 December 2014

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10722/189066

zbMATH Keywords

Schrödinger equationsymplectic integratorshigh-order collocated differencesnumerical stability and dispersion

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Software, source code, etc. for problems pertaining to quantum theory (81-04) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (9)

Simple, accurate, and efficient implementation of 1-electron atomic time-dependent Schrödinger equation in spherical coordinates ⋮ Fourth order real space solver for the time-dependent Schrödinger equation with singular Coulomb potential ⋮ Nonuniform and higher-order FDTD methods for the Schrödinger equation ⋮ Canonical symplectic structure and structure-preserving geometric algorithms for Schrödinger-Maxwell systems ⋮ Finite difference time domain simulation of arbitrary shapes quantum dots ⋮ A conservative fourth-order real space method for the (2+1)D Dirac equation ⋮ On the chaotic dynamics in two coupled partial differential equations for evolution of surface plasmon polaritons ⋮ A new solution of Schrödinger equation based on symplectic algorithm ⋮ Existence of weak solutions for the Schrödinger equation and its application

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• Survey on Symplectic Finite-Difference Time-Domain Schemes for Maxwell's Equations
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