A Schrodinger solver for nano-scale one-particle quantum-wells, -wires and -dots with infinite potential barriers |
Posted on:2008-07-01 | Degree:M.A.Sc | Type:Thesis |
University:Concordia University (Canada) | Candidate:Moslemi-Tabrizi, Sanam | Full Text:PDF |
GTID:2440390005967689 | Subject:Engineering |
Abstract/Summary: | |
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 Schrodinger 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 Schrodinger 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. |
Keywords/Search Tags: | Algorithm, Efficient, Implementation, FCM, Schrodinger |
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