The Schroedinger equation, or the coupled Schroedinger and Poisson equations, are transformed into an integral equation. Back-substituting from the original equations allows one to approximate the numerical corrections to any order without the need of calculating derivatives of the unknown function of order larger than one. Typical applications are in the numerical analysis of quantum transport in nanowires and nanotubes in the ballistic regime.
M. Rudan, A. Gnudi, E. Gnani, S. Reggiani, G. Baccarani (2010). Improving the accuracy of the Schroedinger-Poisson solution in CNWs and CNTs. NEW YORK : IEEE [10.1109/SISPAD.2010.5604497].
Improving the accuracy of the Schroedinger-Poisson solution in CNWs and CNTs
RUDAN, MASSIMO;GNUDI, ANTONIO;GNANI, ELENA;REGGIANI, SUSANNA;BACCARANI, GIORGIO
2010
Abstract
The Schroedinger equation, or the coupled Schroedinger and Poisson equations, are transformed into an integral equation. Back-substituting from the original equations allows one to approximate the numerical corrections to any order without the need of calculating derivatives of the unknown function of order larger than one. Typical applications are in the numerical analysis of quantum transport in nanowires and nanotubes in the ballistic regime.File in questo prodotto:
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