Arbitrary l-state solutions of the Klein-Gordon equation with the Poschl-Teller potential

Koçak G., Taskin F.

ANNALEN DER PHYSIK, cilt.522, sa.11, ss.802-806, 2010 (SCI-Expanded) identifier

  • 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, EQUAL SCALAR, VECTOR, DIRAC
  • 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