Relativistic solutions for diatomic molecules subject to pseudoharmonic oscillator in arbitrary dimensions

Ortakaya S.

CHINESE PHYSICS B, vol.22, no.7, 2013 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 22 Issue: 7
  • Publication Date: 2013
  • Doi Number: 10.1088/1674-1056/22/7/070303
  • Journal Name: CHINESE PHYSICS B
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Erciyes University Affiliated: No

Abstract

The exact solutions of the N-dimensional Klein-Gordon equation in the presence of an exactly solvable potential of V(r) = D-e (r/re - re/r)(2) type have been obtained. The N-dimensional Klein-Gordon equation has been reduced to a first-order differential equation via Laplace transformation. The exact bound state energy eigenvalues and corresponding wave functions for CH, H-2, and HCl molecules interacting with pseudoharmonic oscillator potential in the arbitrary N dimensions have been determined. Bound state eigenfunctions used in applications related to molecular spectroscopy are obtained in terms of confluent hypergeometric functions.