Iterative solutions to the Dirac equation

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Ciftci H., Hall R., Saad N.

PHYSICAL REVIEW A, cilt.72, sa.2, 2005 (SCI-Expanded)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 72 Sayı: 2
• Basım Tarihi: 2005
• Doi Numarası: 10.1103/physreva.72.022101
• Dergi Adı: PHYSICAL REVIEW A
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
• Gazi Üniversitesi Adresli: Evet

Özet

We consider a single particle which is bound by a central potential and obeys the Dirac equation in d dimensions. We first apply the asymptotic iteration method to recover the known exact solutions for the pure Coulomb case. For a screened Coulomb potential and for a Coulomb plus linear potential with linear scalar confinement, the method is used to obtain accurate approximate solutions for both eigenvalues and wave functions.