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Time-Domain Simulation of Three Dimensional Quantum Wires.

ABSTRACT: 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.

SUBMITTER: Sullivan DM 

PROVIDER: S-EPMC4849664 | biostudies-literature | 2016

REPOSITORIES: biostudies-literature

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Time-Domain Simulation of Three Dimensional Quantum Wires.

Sullivan Dennis M DM   Mossman Sean S   Kuzyk Mark G MG  

PloS one 20160428 4

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. ...[more]

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