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A Schrodinger solver for nano-scale one-particle quantum-wells, - wires -dots with infinite potential barriers

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A Schrodinger solver for nano-scale one-particle quantum-wells, - wires -dots with infinite potential barriers

Moslemi-Tabrizi, Sanam (2007) A Schrodinger solver for nano-scale one-particle quantum-wells, - wires -dots with infinite potential barriers. Masters thesis, Concordia University.

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Abstract

In this thesis a fast, efficient and simple algorithm and its implementation (in the Java programming language) is presented; the algorithm calculates the energy states and the corresponding wave functions of a one-particle quantum well/wire/dot structure with an arbitrary potential profile by solving the multi-dimensional time-independent Schrödinger equation. The algorithm is based on the Finite Cloud Method (FCM), which is a truly meshless method. The contributions of this thesis are the expansion of FCM to a 3D method and implementing a tool to solve the multi-dimensional Schrödinger equation in an efficient way. To validate the accuracy and efficiency of our implementation we calculated the eigenstates of different rectangular GaAs quantum-wells, -wires and -dots. Comparing the obtained results with the analytical results published in the literature shows our approach to be a successful proof of concept. The results also confirm our implementation of the FCM algorithm to be highly accurate and efficient.

Divisions:Concordia University > Gina Cody School of Engineering and Computer Science > Electrical and Computer Engineering
Item Type:Thesis (Masters)
Authors:Moslemi-Tabrizi, Sanam
Pagination:xii, 105 leaves : ill. ; 29 cm.
Institution:Concordia University
Degree Name:M.A. Sc.
Program:Electrical and Computer Engineering
Date:2007
Thesis Supervisor(s):Kahrizi, Mojtaba
ID Code:975261
Deposited By: Concordia University Library
Deposited On:22 Jan 2013 16:04
Last Modified:18 Jan 2018 17:40
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