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

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2003-07-01

Author

Safak, H
Sahin, M
Gulveren, B
Tomak, Mehmet

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In the present work, genetic algorithm method (CA) 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 gene-tic algorithm based on parameter optimization methods.

Subject Keywords

Mathematical Physics, Computational Theory and Mathematics, General Physics and Astronomy, Statistical and Nonlinear Physics, Computer Science Applications

URI

https://hdl.handle.net/11511/36837

Journal

INTERNATIONAL JOURNAL OF MODERN PHYSICS C

DOI

https://doi.org/10.1142/s0129183103004917

Collections

Department of Physics, Article

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Citation Formats

H. Safak, M. Sahin, B. Gulveren, and M. Tomak, “Efficiency of genetic algorithm and determination of ground state energy of impurity in a spherical quantum dot,” INTERNATIONAL JOURNAL OF MODERN PHYSICS C, pp. 775–784, 2003, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/36837.