Bound state solution of the Schrodinger equation for Mie potential

Sever R., Bucurgat M., Tezcan C., Yesiltas Ö.

JOURNAL OF MATHEMATICAL CHEMISTRY, sa.2, ss.749-755, 2008 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2008
  • Doi Numarası: 10.1007/s10910-007-9228-8
  • Dergi Adı: JOURNAL OF MATHEMATICAL CHEMISTRY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.749-755
  • Anahtar Kelimeler: Mie potential, diatomic molecules, Schrodinger equation, Nikiforov-Uvarov method, PATH-INTEGRAL SOLUTION, WINTERNITZ SYSTEM, 1/N EXPANSION, SUPERINTEGRABILITY, OSCILLATOR, DIMENSIONS
  • Gazi Üniversitesi Adresli: Evet

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.