Approximate analytical solutions of a two-term diatomic molecular potential with centrifugal barrier

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Arda A., Sever R.

JOURNAL OF MATHEMATICAL CHEMISTRY, cilt.50, sa.7, ss.1920-1930, 2012 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 50 Sayı: 7
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1007/s10910-012-0011-0
  • Dergi Adı: JOURNAL OF MATHEMATICAL CHEMISTRY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1920-1930
  • Anahtar Kelimeler: Diatomic molecular potential, Schrodinger equation, Bound state, EQUATION, MODEL, TERM
  • Hacettepe Üniversitesi Adresli: Evet

Özet

Approximate analytical bound state solutions of the radial Schrodinger equation are studied for a two-term diatomic molecular potential in terms of the hypergeometric functions for the cases where q >= 1 and q = 0. The energy eigenvalues and the corresponding normalized wave functions of the Manning-Rosen potential, the 'standard' Hulthen potential and the generalized Morse potential are briefly studied as special cases. It is observed that our analytical results are the same with the ones obtained before.