On the stability of the FDTD method for solving a time‐dependent Schrödinger equation

DOI10.1002/num.20082zbMath1080.65082OpenAlexW2099535181WikidataQ115398747 ScholiaQ115398747MaRDI QIDQ5704763

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Publication date: 15 November 2005

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.20082

zbMATH Keywords

stabilitynumerical resultstime-dependent Schrödinger equationfinite difference time domain method

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) PDEs in connection with quantum mechanics (35Q40)

Related Items (6)

An alternating-direction hybrid implicit-explicit finite-difference time-domain method for the Schrödinger equation ⋮ Low temperature behavior of entropy and specific heat of a three dimensional quantum wire: Shannon and Tsallis entropies ⋮ Nonuniform and higher-order FDTD methods for the Schrödinger equation ⋮ \textit{LPSE}: a 3-D wave-based model of cross-beam energy transfer in laser-irradiated plasmas ⋮ A generalized finite-difference time-domain quantum method for the \(N\)-body interacting Hamiltonian ⋮ Pentadiagonal alternating-direction-implicit finite-difference time-domain method for two-dimensional Schrödinger equation

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