Exact polynomial eigensolutions of the Schrodinger equation for the pseudoharmonic potential


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Ikhdair S., Sever R.

JOURNAL OF MOLECULAR STRUCTURE-THEOCHEM, vol.806, pp.155-158, 2007 (Peer-Reviewed Journal) identifier identifier

  • Publication Type: Article / Article
  • Volume: 806
  • Publication Date: 2007
  • Doi Number: 10.1016/j.theochem.2006.11.019
  • Journal Name: JOURNAL OF MOLECULAR STRUCTURE-THEOCHEM
  • Journal Indexes: Science Citation Index Expanded, Scopus
  • Page Numbers: pp.155-158
  • Keywords: pseudoharmonic potential, anharmonic oscillator potential, Schrodinger equation, diatomic molecules, eigenvalues and eigenfunction, bound states, PATH-INTEGRAL SOLUTION

Abstract

The polynomial solution of the Schrodinger equation for the Pseudoharmonic potential is found for any arbitrary angular momentum l. The exact bound-state energy eigenvalues and the corresponding eigenfunctions are analytically calculated. The energy states for several diatomic molecular systems are calculated numerically for various principal and angular quantum numbers. By a proper transformation, this problem is also solved very simply by using the known eigensolutions of anharmonic oscillator potential. (c) 2006 Elsevier B.V. All rights reserved.