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, cilt.43, ss.749-755, 2008 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 43 Konu: 2
  • Basım Tarihi: 2008
  • Doi Numarası: 10.1007/s10910-007-9228-8
  • Dergi Adı: JOURNAL OF MATHEMATICAL CHEMISTRY
  • Sayfa Sayıları: ss.749-755

Özet

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.