Transparent boundary conditions for higher-order finite-difference schemes of the Schrödinger equation in (1+1)D

DOI10.1016/j.cpc.2019.107048OpenAlexW2983362165MaRDI QIDQ2698872

Mathias Schwendt, Walter Pötz

Publication date: 25 April 2023

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

Full work available at URL: https://doi.org/10.1016/j.cpc.2019.107048

zbMATH Keywords

Schrödinger equationtransparent boundary conditionsfinite-difference schemequantum transport

Mathematics Subject Classification ID

Numerical analysis (65-XX) Quantum theory (81-XX)

Related Items (1)

Perfectly matched layers for Schrödinger-type equations with nontrivial energy-momentum dispersion

Cites Work

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• On a splitting higher-order scheme with discrete transparent boundary conditions for the Schrödinger equation in a semi-infinite parallelepiped
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• Perfectly matched layers versus discrete transparent boundary conditions in quantum device simulations
• Full-potential electronic structure method. Energy and force calculations with density functional and dynamical mean field theory
• A perfectly matched layer for the absorption of electromagnetic waves
• Transparent boundary conditions for the Bogoliubov-de Gennes equation in \((1+1)\)D
• A perfectly matched layer approach to the nonlinear Schrödinger wave equations
• Numerical Solution of Partial Differential Equations

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