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A functional iteration for the quantum drift–diffusion model: existence analysis and numerical approximation
Author(s) -
Falco Carlo de,
Jerome Joseph W.,
Sacco Riccardo
Publication year - 2007
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200700765
Subject(s) - diffusion , statistical physics , mathematics , quantum , point (geometry) , computer science , physics , quantum mechanics , geometry
This communication describes a functional iteration technique, denoted Generalized Gummel Map (GGM), for the solution of the Quantum Drift–Diffusion (QDD) model. The assumptions needed to establish existence of a fixed point for the GGM are described and their plausibility is assessed via physical arguments supported by one–dimensional numerical experiments. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)