dorsal/arxiv
View SchemaExact Polynomial Eigensolutions of the Schrodinger Equation for the Pseudoharmonic Potential
| Authors | Sameer M. Ikhdair, Ramazan Sever |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0611183 |
| URL | https://arxiv.org/abs/quant-ph/0611183 |
| Journal | Int. J. of Molecular Structure(THEOCHEM) 806, 155(2007 |
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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"abstract": "The polynomial solution of the Schrodinger equation for the Pseudoharmonic\npotential is found for any arbitrary angular momentum $l$. The exact\nbound-state energy eigenvalues and the corresponding eigen functions are\nanalytically calculated. The energy states for several diatomic molecular\nsystems are calculated numerically for various principal and angular quantum\nnumbers. By a proper transformation, this problem is also solved very simply by\nusing the known eigensolutions of anharmonic oscillator potential.",
"arxiv_id": "quant-ph/0611183",
"authors": [
"Sameer M. Ikhdair",
"Ramazan Sever"
],
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"quant-ph"
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"journal_ref": "Int. J. of Molecular Structure(THEOCHEM) 806, 155(2007",
"title": "Exact Polynomial Eigensolutions of the Schrodinger Equation for the Pseudoharmonic Potential",
"url": "https://arxiv.org/abs/quant-ph/0611183"
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