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INVESTIGATION OF ELECTRONIC STRUCTURE OF A QUANTUM DOT USING SLATER-TYPE ORBITALS AND QUANTUM GENETIC ALGORITHM

Beki̇r Çakir (), Ayhan Özmen, Ülfet Atav, Hüseyi̇n Yüksel and Yusuf Yakar
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Beki̇r Çakir: Physics Department, Faculty of Science and Arts, Selcuk University, Campus 42031 Konya, Turkey
Ayhan Özmen: 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
Hüseyi̇n Yüksel: Physics Department, Faculty of Science and Arts, Selcuk University, Campus 42031 Konya, Turkey
Yusuf Yakar: Physics Department, Faculty of Science and Arts, Aksaray University, 68100 Aksaray, Turkey

International Journal of Modern Physics C (IJMPC), 2007, vol. 18, issue 01, 61-72

Abstract: In this study, electronic properties of a low-dimensional quantum mechanical structure have been investigated by using Genetic Algorithm (GA). One- and two-electron Quantum Dot (QD) systems with an on-center impurity are considerable by assuming the confining potential to be infinitely deep and spherically symmetric. Linear combinations of Slater-Type Orbitals (STOs) were used for the description of the single electron wave functions. The parameters of the wave function of the system were used as individuals in a generation, and the corresponding energy expectation values were used for objective functions. The energy expectation values were determined by using the Hartree-Fock-Roothaan (HFR) method. The orbital exponentζi's and the expansion coefficientci's of the STOs were determined by genetic algorithm. The obtained results were compared with the exact result and found to be in a good agreement with the literature.

Keywords: QD; genetic algorithm; STOs; Hartree-Fock-Roothaan; 73.21.La; 71.15.Ap (search for similar items in EconPapers)
Date: 2007
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DOI: 10.1142/S0129183107010255

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