Analytical solutions of Schrodinger equation for the diatomic molecular potentials with any angular momentum

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AKÇAY H., Sever R.

JOURNAL OF MATHEMATICAL CHEMISTRY, vol.50, no.7, pp.1973-1987, 2012 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 50 Issue: 7
  • Publication Date: 2012
  • Doi Number: 10.1007/s10910-012-0013-y
  • Journal Name: JOURNAL OF MATHEMATICAL CHEMISTRY
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1973-1987
  • Keywords: Diatomic molecular potential, Exact solutions, Bound-states, Energy eigenvalues, Wave functions, Schrodinger equation, Algebraic method, NIKIFOROV-UVAROV METHOD, ASYMPTOTIC ITERATION METHOD, QUANTUM-MECHANICS, BOUND-STATES, PERTURBATIVE TREATMENT, NONCENTRAL POTENTIALS, POLYNOMIAL SOLUTIONS, CENTRIFUGAL TERM, H-ATOM, OSCILLATOR
  • Open Archive Collection: AVESIS Open Access Collection
  • Middle East Technical University Affiliated: Yes

Abstract

Analytical solutions of the Schrodinger equation are obtained for some diatomic molecular potentials with any angular momentum. The energy eigenvalues and wave functions are calculated exactly. The asymptotic form of the equation is also considered. Algebraic method is used in the calculations.