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Efficiency Of Genetic Algorithm And Determination Of Ground State Energy Of Impurity In A Spherical Quantum Dot

Author

Listed:
  • 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)

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.

Suggested Citation

  • Haluk Safak & Mehmet Sahin & Berna Gülveren & Mehmet Tomak, 2003. "Efficiency Of Genetic Algorithm And Determination Of Ground State Energy Of Impurity In A Spherical Quantum Dot," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 14(06), pages 775-784.
    • Handle: RePEc:wsi:ijmpcx:v:14:y:2003:i:06:n:s0129183103004917
    DOI: 10.1142/S0129183103004917
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