Exact polynomial eigensolutions of the Schrodinger equation for the pseudoharmonic potential
JOURNAL OF MOLECULAR STRUCTURE-THEOCHEM, vol.806, pp.155-158, 2007 (SCI-Expanded, Scopus)
- 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 (SCI-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
- Open Archive Collection: AVESIS Open Access Collection
- Middle East Technical University Affiliated: No
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.