An Exactly Solvable Algebraic Model for Single Quantum Well Treatments

Bülent Gönül, Ömer L. Ünsal, Beşire Gönül

Department of Engineering Physics, Gaziantep University, Gaziantep, Türkiye.

DOI: 10.4236/am.2013.410A3002                

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.

Keywords

One-Dimensional Poisson-Schrödinger Equation; Exactly Solvable Systems; Single Quantum Wells

Conflicts of Interest

The authors declare no conflicts of interest.

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