Exact polynomial eigensolutions of the Schrodinger equation for the pseudoharmonic potential

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2007-03-31
Ikhdair, Sameer
Sever, Ramazan
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.
JOURNAL OF MOLECULAR STRUCTURE-THEOCHEM

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Citation Formats
S. Ikhdair and R. Sever, “Exact polynomial eigensolutions of the Schrodinger equation for the pseudoharmonic potential,” JOURNAL OF MOLECULAR STRUCTURE-THEOCHEM, pp. 155–158, 2007, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/62476.