ON AN OPEN TRANSIENT SCHRÖDINGER–POISSON SYSTEM-Reference-Cited by-同舟云学术

ON AN OPEN TRANSIENT SCHRÖDINGER–POISSON SYSTEM

Published:2005-05 Issue:05 Volume:15 Page:667-688
ISSN:0218-2025
Container-title:Mathematical Models and Methods in Applied Sciences
language:en
Short-container-title:Math. Models Methods Appl. Sci.

Author:

ABDALLAH NAOUFEL BEN¹,MÉHATS FLORIAN¹,PINAUD OLIVIER¹

Affiliation:

1. MIP, Laboratoire CNRS (UMR 5640), Université Paul Sabatier, 31062 Toulouse Cedex 04, France

Abstract

A mathematical model of quantum transient transport in dimension d=2, 3 is derived and analyzed. The model describes the evolution of electrons injected into the device by reservoirs having a stationary statistics. The electrostatic potential in the device is modified by electron presence through electrostatic interaction. The wave functions are computed in the device region and satisfy nonhomogeneous open boundary conditions at the device edges. A priori estimates are deduced from the "dissipative properties" of the boundary conditions and from the repulsive character of the electrostatic interaction.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218202505000510

Reference24 articles.

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