Scattering, bound, and quasi-bound states of the generalized symmetric Woods-Saxon potential
JOURNAL OF MATHEMATICAL PHYSICS, cilt.57, sa.3, 2016 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 57 Sayı: 3
- Basım Tarihi: 2016
- Doi Numarası: 10.1063/1.4943298
- Dergi Adı: JOURNAL OF MATHEMATICAL PHYSICS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Akdeniz Üniversitesi Adresli: Evet
Özet
The exact analytical solutions of the Schrodinger equation for the generalized symmetrical Woods-Saxon potential are examined for the scattering, bound, and quasi-bound states in one dimension. The reflection and transmission coefficients are analytically obtained. Then, the correlations between the potential parameters and the reflection-transmission coefficients are investigated, and a transmission resonance condition is derived. Occurrence of the transmission resonance has been shown when incident energy of the particle is equal to one of the resonance energies of the quasi-bound states. (C) 2016 AIP Publishing LLC.