• DocumentCode
    3035184
  • 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
  • fYear
    2010
  • fDate
    20-22 May 2010
  • Firstpage
    180
  • Lastpage
    184
  • 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;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Optimization of Electrical and Electronic Equipment (OPTIM), 2010 12th International Conference on
  • Conference_Location
    Basov
  • ISSN
    1842-0133
  • Print_ISBN
    978-1-4244-7019-8
  • Type

    conf

  • DOI
    10.1109/OPTIM.2010.5510544
  • Filename
    5510544