On solutions of the Schrodinger equation for some molecular potentials: wave function ansatz

Creative Commons License

IKHDAİR S., Sever R.

CENTRAL EUROPEAN JOURNAL OF PHYSICS, cilt.6, sa.3, ss.697-703, 2008 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 6 Sayı: 3
  • Basım Tarihi: 2008
  • Doi Numarası: 10.2478/s11534-008-0060-y
  • Dergi Adı: CENTRAL EUROPEAN JOURNAL OF PHYSICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.697-703
  • Anahtar Kelimeler: bound states, pseudoharmonic potential, Kratzer's potential, Mie-type potential, anharmonic oscillator potential, Schrodinger equation, diatomic molecules, B-C MESON, PERTURBATIVE TREATMENT, DECAY CONSTANT, BOUND-STATES, SPECTROSCOPY, SPECTRUM
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

Making an ansatz to the wave function, the exact solutions of the D-dimensional radial Schrodinger equation with some molecular potentials, such as pseudoharmonic and modified Kratzer, are obtained. Restrictions on the parameters of the given potential, delta and nu are also given, where eta depends on a linear combination of the angular momentum quantum number l and the spatial dimensions D and delta is a parameter in the ansatz to the wave function. On inserting D = 3, we find that the bound state eigensolutions recover their standard analytical forms in literature.