Exact solution of Schrodinger equation for Pseudoharmonic potential


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Sever R., TEZCAN C., Aktas M., Yesiltas O.

JOURNAL OF MATHEMATICAL CHEMISTRY, vol.43, no.2, pp.845-851, 2008 (Peer-Reviewed Journal) identifier identifier

  • Publication Type: Article / Article
  • Volume: 43 Issue: 2
  • Publication Date: 2008
  • Doi Number: 10.1007/s10910-007-9233-y
  • Journal Name: JOURNAL OF MATHEMATICAL CHEMISTRY
  • Journal Indexes: Science Citation Index Expanded, Scopus
  • Page Numbers: pp.845-851
  • Keywords: Schrodinger equation, pseudoharmonic potential, diatomic molecules, Nikiforov-Uvarov method, ANHARMONIC-OSCILLATOR, BOUND-STATES, EIGENENERGIES, SPECTRUM, V(X)

Abstract

Exact solution of Schrodinger equation for the pseudoharmonic potential is obtained for an arbitrary angular momentum. The energy eigenvalues and corresponding eigenfunctions are calculated by Nikiforov-Uvarov method. Wavefunctions are expressed in terms of Jacobi polynomials. The energy eigenvalues are calculated numerically for some values of l and n with n <= 5 for some diatomic molecules.