Exact polynomial eigensolutions of the Schrodinger equation for the pseudoharmonic potential

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2007-03-31

Author

Ikhdair, Sameer
Sever, Ramazan

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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.

Subject Keywords

Pseudoharmonic potential, Anharmonic oscillator potential, Schrodinger equation, Diatomic molecules, Eigenvalues and eigenfunction, Bound states

URI

https://hdl.handle.net/11511/62476

Journal

JOURNAL OF MOLECULAR STRUCTURE-THEOCHEM

DOI

https://doi.org/10.1016/j.theochem.2006.11.019

Collections

Department of Physics, Article

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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.