Arbitrary l-state solutions of the Klein-Gordon equation with the Poschl-Teller potential
ANNALEN DER PHYSIK, cilt.522, sa.11, ss.802-806, 2010 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 522 Sayı: 11
- Basım Tarihi: 2010
- Doi Numarası: 10.1002/andp.201000031
- Dergi Adı: ANNALEN DER PHYSIK
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.802-806
- Anahtar Kelimeler: Klein-Gordon equation, Poschl-Teller potential, bound state, centrifugal term
- Erciyes Üniversitesi Adresli: Evet
Özet
Within the framework of the Klein-Gordon equation, the relativistic bound states for the Poschl-Teller potential are obtained for arbitrary angular momentum quantum numbers by using an approximation for the centrifugal term. The special case for equally scalar and vector Poschl-Teller potential is studied. The energy eigenvalues are obtained in closed form and the corresponding normalized radial wave functions are expressed in terms of the generalized hypergeometric functions. The s-wave (l = 0) case and bound state conditions are also investigated. (C) 2010 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim