Title :
Semi-analytical solutions to the Schroedinger-Poisson Model of electron states
Author :
Barrett, J.A. ; De Souza, M.M. ; Cirstea, S.
Author_Institution :
Dept. of Comput. & Technol., Anglia Ruskin Univ., Cambridge, UK
Abstract :
Semi-analytical solutions of the non-linear Schrodinger-Poisson Model for simulation of electronic states in semiconductor devices are investigated in both two and three dimensions. Solutions of the electrostatic potential are found from solving Poisson´s equation in the complex space, and subsequently used to solve Schrodinger equation. The wavefunctions and energy levels are calculated using the Evans function technique.
Keywords :
Poisson equation; Schrodinger equation; nonlinear equations; Evans function technique; Poisson´s equation; Schrodinger equation; Schroedinger-Poisson model; electron states; electronic states; electrostatic potential; energy levels; nonlinear Schrodinger-Poisson model; semianalytical solutions; semiconductor devices; wavefunctions; Computational modeling; Effective mass; Electronic equipment; Electrons; Electrostatics; Energy states; Poisson equations; Predictive models; Schrodinger equation; Semiconductor devices;
Conference_Titel :
Optimization of Electrical and Electronic Equipment (OPTIM), 2010 12th International Conference on
Conference_Location :
Basov
Print_ISBN :
978-1-4244-7019-8
DOI :
10.1109/OPTIM.2010.5510544
