Transparent boundary conditions for quantum-waveguide simulations

DOI10.1016/j.matcom.2008.02.002zbMath1159.82326OpenAlexW2051119067MaRDI QIDQ1009997

Maike Schulte, Anton Arnold

Publication date: 3 April 2009

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2008.02.002

zbMATH Keywords

finite difference schemeSchrödinger equationtransparent boundary conditionquantum waveguide

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Schrödinger operator, Schrödinger equation (35J10) Statistical mechanics of semiconductors (82D37)

Related Items (3)

Perfectly matched layers versus discrete transparent boundary conditions in quantum device simulations ⋮ Time-dependent simulations of quantum waveguides using a time-splitting spectral method ⋮ A fast solution method for time dependent multidimensional Schrödinger equations

Cites Work

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• Discrete transparent boundary conditions for the Schrödinger equation -- a compact higher order scheme
• Discrete transparent boundary conditions for the Schrödinger equation: fast calculation, approximation, and stability
• ON AN OPEN TRANSIENT SCHRÖDINGER–POISSON SYSTEM
• Implementation of transparent boundaries for numerical solution of the Schröder equation.

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