Exact solutions of the Klein-Gordon equation for the Rosen-Morse type potentials via Nikiforov-Uvarov method


REZAEI AKBARIEH A., Motavali H.

Modern Physics Letters A, cilt.23, sa.35, ss.3005-3013, 2008 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 23 Sayı: 35
  • Basım Tarihi: 2008
  • Doi Numarası: 10.1142/s0217732308026686
  • Dergi Adı: Modern Physics Letters A
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.3005-3013
  • Anahtar Kelimeler: Exact solution, Klein-Gordon equation, Rosen-Morse type potential
  • Kocaeli Üniversitesi Adresli: Evet

Özet

The exact solutions of the one-dimensional Klein-Gordon equation for the Rosen-Morse type potential with equal scalar and vector potentials are presented. First, we briefly review Nikiforov-Uvarov mathematical method. Using this method, wave functions and corresponding exact energy equation are obtained for the s-wave bound state. It has been shown that the results for Rosen-Morse type potentials reduce to the standard Rosen-Morse well and Eckart potentials in the special case. The PT-symmetry for these potentials is also considered. © 2008 World Scientific Publishing Company.