Retracted: Exact solutions of the Schrödinger equation using extended Nikiforov-Uvarov formalism for generalized pseudo-harmonic oscillator

H. I. Alrebdi, A. N. Ikot, U. S. Okorie*, L. F. Obagboye, R. Horchani, A. H. Abdel-Aty

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


The Schrodinger equation with generalized pseudo-harmonic oscillator (GPHO) is transformed into a form that is compatible with extended Nikiforov-Uvarov (ENU) formalism, and its exact solutions are obtained in three and N-dimensions using this formalism. The energy spectrum for the GPHO was obtained in closed form, and the wave function was determined using the biconfluent Heun differential equation. Special cases are deduced, and some numerical results are shown to illustrate the behaviour of the bound state energies at different quantum states for various values of potential parameter; lambda. In addition, the thermodynamic property expressions for GPHO are obtained in closed form, and their variation with temperature-dependent parameters is discussed extensively for various values of lambda. Our results agree with those obtained in the literatures.

Original languageEnglish
Article number015712
JournalPhysica Scripta
Issue number1
Publication statusPublished - Dec 23 2022
Externally publishedYes


  • Schrodinger equation
  • extended Nikiforov-Uvarov (ENU) method
  • generalized pseudo-harmonic oscillator (GPHO)
  • partition function
  • thermodynamic properties

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • Mathematical Physics
  • Condensed Matter Physics

Cite this