TITLE:
An Exactly Solvable Algebraic Model for Single Quantum Well Treatments
AUTHORS:
Bülent Gönül, Ömer L. Ünsal, Beşire Gönül
KEYWORDS:
One-Dimensional Poisson-Schrödinger Equation; Exactly Solvable Systems; Single Quantum Wells
JOURNAL NAME:
Applied Mathematics,
Vol.4 No.10C,
October
4,
2013
ABSTRACT: We propose an algebraic model, presenting individual contributions separately in the system of interest, for the exact solutions of one-dimensional Poisson-Schr?dinger equations used generally in semiconductor device simulations. The model presented here reveals an interesting relation between the corresponding Poisson and Schr?dinger equation for the physical structure considered, which leads to closed solutions without solving the required electrostatic equation.