Exact solution of Schrodinger equation for Pseudoharmonic potential

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

JOURNAL OF MATHEMATICAL CHEMISTRY, cilt.43, sa.2, ss.845-851, 2008 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 43 Sayı: 2
  • Basım Tarihi: 2008
  • Doi Numarası: 10.1007/s10910-007-9233-y
  • Dergi Adı: JOURNAL OF MATHEMATICAL CHEMISTRY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.845-851
  • Anahtar Kelimeler: Schrodinger equation, pseudoharmonic potential, diatomic molecules, Nikiforov-Uvarov method, ANHARMONIC-OSCILLATOR, BOUND-STATES, EIGENENERGIES, SPECTRUM, V(X)
  • Gazi Üniversitesi Adresli: Evet

Özet

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.