Eigenvalues and eigenfunction

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Exact Polynomial Eigensolutions of the Schrödinger Equation for the Pseudoharmonic Potential

Journal Title, Volume, Page: 
Journal of Molecular Structure: THEOCHEM 806, 155–158
Year of Publication: 
Sameer Ikhdair
Department of Physics, Near East University, Nicosia, North Cyprus, Mersin-10, Turkey
Current Affiliation: 
Department of Physics, Faculty of Science, An-Najah National University, Nablus, Palestine
Ramazan Sever
Department of Physics, Middle East Technical University, 06531 Ankara, Turkey
Preferred Abstract (Original): 
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 eigen functions 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.
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