Bound state solution of the Schrodinger equation for Mie potential


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

JOURNAL OF MATHEMATICAL CHEMISTRY, vol.43, no.2, pp.749-755, 2008 (Peer-Reviewed Journal) identifier identifier

  • Publication Type: Article / Article
  • Volume: 43 Issue: 2
  • Publication Date: 2008
  • Doi Number: 10.1007/s10910-007-9228-8
  • Journal Name: JOURNAL OF MATHEMATICAL CHEMISTRY
  • Journal Indexes: Science Citation Index Expanded, Scopus
  • Page Numbers: pp.749-755
  • Keywords: Mie potential, diatomic molecules, Schrodinger equation, Nikiforov-Uvarov method, PATH-INTEGRAL SOLUTION, WINTERNITZ SYSTEM, 1/N EXPANSION, SUPERINTEGRABILITY, OSCILLATOR, DIMENSIONS

Abstract

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