İki Elektronlu Kuantum Nokta Yapılarda Elektrik Alan Etkisinin Pertürbasyon Yöntemiyle İncelenmesi

Abstract

Bu çalışmada iki elektronlu kuantum nokta yapının dış elektrik alan etkisi altında elektronik özellikleri Pertürbasyon yöntemiyle incelendi. Hesaplamalarda helyum benzeri safsızlığa sahip olan iki elektronlu kuantum nokta yapı ele alındı ve sonsuz derinlikli küresel simetrik sınırlayıcı potansiyel göz önüne alındı. Sistemin dalga fonksiyonları tek elektron spin orbitallerinden oluşan Slater determinantı ile tanımlandı. Tek elektron spin orbitalleri ise Slater Tipi Orbitallerin(STO) lineer bileşimleri olarak kuruldu. Kuantum Genetik Algoritma(KGA) tekniği ile Schrödinger denkleminin olası çözümleri olan dalga fonksiyonları belirlendi ve bu dalga fonksiyonları kullanılarak iki elektronlu kuantum noktayapının taban ve bazı uyarılmış durumların enerjilerinin beklenen değerleri Hartree-Fock-Roothaan Metodu(HFR) ile hesaplandı. İki elektronlu kuantum nokta yapının dış elektrik alan etkisinde iken bu enerji seviyelerine gelen katkı pertürbasyon yöntemiyle hesaplandı.

Keywords

• Hartree-Fock Roothaan Metod, Kuantum nokta yapı, Kuantum Genetik Algoritm Hartree-Fock Roothaan Metod, Kuantum nokta yapı, Kuantum Genetik Algoritma

Investigation of the Electric Field Effect by Perturbation Method in Two Electron Quantum Dot

Abstract

In this study electronic properties two-electron quantum dots under an external electric field were investigated by using Perturbation method. In calculation we used helium-like quantum dot with two electron confined with infinite spherically symmetric potential. The wave function of the system is defined by a Slater determinant constructed single-electron spin orbitals. The single electron spin orbitals were created as linear combinations of Slater type orbitals (STO). The wave functions which are the possible solutions of the Schrödinger equation were determined by using Quantum Genetic Algorithm (QGA). The energy eigenvalues of ground and excited states quantum dot with two electron were calculated using Hartree-Fock-Roothoon Method (HFR). The contributions came from the external electric field on these states of two electron quantum dot were calculated using Perturbation method.

Keywords

• Hartree-Fock Roothaan Method, Quantum dot, Quantum Genetik Algorithm, Perturbation Method, Slater Type orbital

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