Efficiency of genetic algorithm and determination of ground state energy of impurity in a spherical quantum dot

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 apply...

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Bibliographic Details
Published in:arXiv.org 2004-03
Main Authors: Safak, Haluk, Sahin, Mehmet, Gulveren, Berna, Tomak, Mehmet
Format: Article
Language:English
Subjects:
Confining
Eigenvalues
Genetic algorithms
Ground state
Impurities
Mathematical analysis
Optimization
Quantum dots
Online Access:Get full text
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.0403249