Time-dependent simulations of quantum waveguides using a time-splitting spectral method

DOI10.1016/j.matcom.2010.09.013zbMath1205.81091OpenAlexW2162723970MaRDI QIDQ622227

Jan-Frederik Mennemann, Ansgar Jüngel

Publication date: 31 January 2011

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

Full work available at URL: https://doi.org/10.1016/j.matcom.2010.09.013

zbMATH Keywords

Schrödinger equationabsorbing boundary conditionsquantum transistorthree-dimensional dynamical simulations

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Time-dependent Schrödinger equations and Dirac equations (35Q41) Quantum dots, waveguides, ratchets, etc. (81Q37) Quantum waveguides, quantum wires (82D77)

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Uses Software

• FFTW
• PovRay

Cites Work

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