Long-Time-Step Integrators for Almost-Adiabatic Quantum Dynamics

DOI10.1137/S1064827502411316zbMath1068.65091OpenAlexW2074176651MaRDI QIDQ4652311

Tobias Jahnke

Publication date: 25 February 2005

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s1064827502411316

zbMATH Keywords

algorithmcomparison of methodssingular perturbationnumerical exampleserror analysisSchrödinger equationHamiltonian matrixnumerical integratorseigendecompositionlong-time-step integratorsmultiple time-scale Magnus-type integrator

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Linear ordinary differential equations and systems (34A30) Numerical methods for initial value problems involving ordinary differential equations (65L05) Error bounds for numerical methods for ordinary differential equations (65L70)

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