Solution of the 1D Schrödinger equation in semiconductor heterostructures using the immersed interface method

DOI10.1016/J.JCP.2012.05.017zbMath1277.81049OpenAlexW2134820121MaRDI QIDQ385919

E. Momox, N. Zakhleniuk, N. Balkan

Publication date: 12 December 2013

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2012.05.017

zbMATH Keywords

finite difference methodSchrödinger equationsemiconductorsimmersed interface methodpotential profiles

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Statistical mechanics of semiconductors (82D37)

Related Items (1)

EJIIM for the stationary Schrödinger equations with delta potential wells

Uses Software

• ARPACK
• SSM

Cites Work

• Eigenstate calculation of arbitrary quantum structures
• A method for the solution of the Schrödinger equation
• Solution of the Schrödinger equation by a spectral method
• On the numerical integration of the Schrodinger equation for symmetrical potentials: a highly stable shooting method with the Numerov integrator
• High-order eigenstate calculation of arbitrary quantum structures
• Shooting methods for the Schrodinger equation
• The Immersed Interface Method for Elliptic Equations with Discontinuous Coefficients and Singular Sources
• ARPACK Users' Guide

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