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

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

INTERNATIONAL JOURNAL OF MODERN PHYSICS C, cilt.14, sa.6, ss.775-784, 2003 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 14 Sayı: 6
  • Basım Tarihi: 2003
  • Doi Numarası: 10.1142/s0129183103004917
  • Dergi Adı: INTERNATIONAL JOURNAL OF MODERN PHYSICS C
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.775-784
  • Anahtar Kelimeler: genetic algorithms, quantum dots, impurity, SCHRODINGER-EQUATION, EVOLUTIONARY ALGORITHM, WAVE-FUNCTIONS, CALCULATE, SYSTEMS, FIELD
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

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.