QUANTUM GENETIC ALGORITHM METHOD IN SELF-CONSISTENT ELECTRONIC STRUCTURE CALCULATIONS OF A QUANTUM DOT WITH MANY ELECTRONS

Mehmet Şahi̇n (), Ülfet Atav () and Mehmet Tomak ()
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Mehmet Şahi̇n: Physics Department, Faculty of Science and Arts, Selcuk University, Campus 42031 Konya, Turkey
Ülfet Atav: Physics Department, Faculty of Science and Arts, Selcuk University, Campus 42031 Konya, Turkey
Mehmet Tomak: Physics Department, Middle East Technical University, İnönü Bulvarí 06531 Ankara, Turkey

International Journal of Modern Physics C (IJMPC), 2005, vol. 16, issue 09, 1379-1393

Abstract: In this study, we have calculated energy levels of anN-electron quantum dot. For this purpose, we have used two different techniques, matrix diagonalization and quantum genetic algorithm, to obtain simultaneous solutions of the coupled Schrödinger and Poisson equation in the Hartree approximation. We have determined single particle energy levels, total energy, chemical potential and capacitive energy. We have also compared the results, demonstrated the applicability of QGA to many-electron quantum systems and evaluated its effectiveness.

Keywords: Matrix diagonalization; evolutionary algorithm; Hartree approximation; 02.60.Pn; 71.15.-m; 73.21.La (search for similar items in EconPapers)
Date: 2005
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DOI: 10.1142/S012918310500800X

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