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

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IKHDAİR S., Sever R.

CENTRAL EUROPEAN JOURNAL OF PHYSICS, vol.6, no.3, pp.697-703, 2008 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 6 Issue: 3
  • Publication Date: 2008
  • Doi Number: 10.2478/s11534-008-0060-y
  • Journal Name: CENTRAL EUROPEAN JOURNAL OF PHYSICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.697-703
  • Keywords: 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
  • Middle East Technical University Affiliated: Yes

Abstract

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.