EFFICIENCY OF GENETIC ALGORITHM AND DETERMINATION OF GROUND STATE ENERGY OF IMPURITY IN A SPHERICAL QUANTUM DOT

Haluk Safak (), Mehmet Sahin, Berna Gülveren and Mehmet Tomak ()
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Haluk Safak: Department of Physics, Faculty of Arts and Sciences, Selçuk University, Kampus 42075 Konya, Turkey
Mehmet Sahin: Department of Physics, Faculty of Arts and Sciences, Selçuk University, Kampus 42075 Konya, Turkey
Berna Gülveren: Department of Physics, Faculty of Arts and Sciences, Selçuk University, Kampus 42075 Konya, Turkey
Mehmet Tomak: Department of Physics, Middle East Technical University, 06531 Ankara, Turkey

International Journal of Modern Physics C (IJMPC), 2003, vol. 14, issue 06, 775-784

Abstract: In the present work, genetic algorithm method (GA) is applied to the problem of impurity at the center of a spherical quantum dot for infinite confining potential case. For this purpose, any trial variational wave function is considered for the ground state and energy values are calculated. In applying the GA to the problem under investigation, two different approaches were followed. Furthermore, a standard variational procedure is also performed to determine the energy eigenvalues. The results obtained by all methods are found in satisfactory agreement with each other and also with the exact values in literature. But, it is found that the values obtained by genetic algorithm based upon wavefunction optimization are closer to the exact values than standard variational and also than genetic algorithm based on parameter optimization methods.

Keywords: Genetic algorithms; quantum dots; impurity; 02.90.+p; 71.55-i; 73.20.Dx (search for similar items in EconPapers)
Date: 2003
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DOI: 10.1142/S0129183103004917

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