Exact solution of Schrödinger equation for Pseudoharmonic potential

Sever R., Tezcan C., Aktaş M., YEŞİLTAŞ Ö.

Journal of Mathematical Chemistry, vol.43, no.2, pp.845-851, 2008 (SCI-Expanded) 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 (SCI-EXPANDED), Scopus
  • Page Numbers: pp.845-851
  • Keywords: Diatomic molecules, Nikiforov-Uvarov method, Pseudoharmonic potential, Schrödinger equation
  • Ankara Yıldırım Beyazıt University Affiliated: No

Abstract

Exact solution of Schrödinger 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 and n with n 5 for some diatomic molecules. © 2007 Springer Science+Business Media, LLC.