Time-Domain Simulation of Three Dimensional Quantum Wires

Time-Domain Simulation of Three Dimensional Quantum Wires

A method is presented to calculate the eigenenergies and eigenfunctions of quantum wires. This is a true three-dimensional method based on a direct implementation of the time-dependent Schrödinger equation. It makes no approximations to the Schrödinger equation other than the finite-difference appro...

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Veröffentlicht in:PloS one 2016-04, Vol.11 (4), p.e0153802-e0153802
Hauptverfasser: Sullivan, Dennis M, Mossman, Sean, Kuzyk, Mark G
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Applied physics
Computer and Information Sciences
Computer Simulation
Eigenfunctions
Eigenvectors
Engineering and Technology
Finite difference method
Finite Element Analysis
Mathematical analysis
Models, Chemical
Optics
Partial differential equations
Physical Sciences
Quantum dots
Quantum electronics
Quantum Theory
Quantum wires
Research and Analysis Methods
Schrodinger equation
Time-domain analysis
Wire
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Beschreibung
Zusammenfassung:A method is presented to calculate the eigenenergies and eigenfunctions of quantum wires. This is a true three-dimensional method based on a direct implementation of the time-dependent Schrödinger equation. It makes no approximations to the Schrödinger equation other than the finite-difference approximation of the space and time derivatives. The accuracy of our method is tested by comparing it to analytical results in a cylindrical wire.
ISSN:1932-6203
1932-6203
DOI:10.1371/journal.pone.0153802