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Time-Domain Simulation of Three Dimensional Quantum Wires

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  • Dennis M Sullivan
  • Sean Mossman
  • Mark G Kuzyk

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.

Suggested Citation

  • Dennis M Sullivan & Sean Mossman & Mark G Kuzyk, 2016. "Time-Domain Simulation of Three Dimensional Quantum Wires," PLOS ONE, Public Library of Science, vol. 11(4), pages 1-11, April.
    • Handle: RePEc:plo:pone00:0153802
    DOI: 10.1371/journal.pone.0153802
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