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Exact Polynomial Eigensolutions of the Schrodinger Equation for the Pseudoharmonic Potential

Sameer M. Ikhdair·Ramazan Sever
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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 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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Sameer M. Ikhdair, Ramazan Sever. 2006-12-04. Exact Polynomial Eigensolutions of the Schrodinger Equation for the Pseudoharmonic Potential. https://arxiv.org/abs/quant-ph/0611183

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