Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2004-03-09
Int. J. Mod. Phys. C 14, 775 (2003)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
15 pages, 2 figures, 2 tables
Scientific paper
10.1142/S0129183103004917
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.
Gulveren Berna
Safak Haluk
Sahin Mehmet
Tomak Mehmet
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