dorsal/arxiv
View SchemaConnection Between q-Deformed Anharmonic Oscillators and Quasi-Exactly Soluble Potentials
| Authors | Dennis Bonatsos, C. Daskaloyannis, Harry A. Mavromatis |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9510023 |
| URL | https://arxiv.org/abs/q-alg/9510023 |
| DOI | 10.1016/0375-9601(95)00036-3 |
| Journal | Phys. Lett. A 199 (1995) 1 |
Abstract
It is proved that quasi-exactly soluble potentials (QESPs) corresponding to an oscillator with harmonic, quartic and sextic terms, for which the $n+1$ lowest levels of a given parity can be determined exactly, may be approximated by WKB equivalent potentials corresponding to deformed anharmonic oscillators of SU$_q$(1,1) symmetry, which have been used for the description of vibrational spectra of diatomic molecules. This connection allows for the immediate approximate determination of all levels of the QESPs.
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"abstract": "It is proved that quasi-exactly soluble potentials (QESPs) corresponding to\nan oscillator with harmonic, quartic and sextic terms, for which the $n+1$\nlowest levels of a given parity can be determined exactly, may be approximated\nby WKB equivalent potentials corresponding to deformed anharmonic oscillators\nof SU$_q$(1,1) symmetry, which have been used for the description of\nvibrational spectra of diatomic molecules. This connection allows for the\nimmediate approximate determination of all levels of the QESPs.",
"arxiv_id": "q-alg/9510023",
"authors": [
"Dennis Bonatsos",
"C. Daskaloyannis",
"Harry A. Mavromatis"
],
"categories": [
"q-alg",
"chem-ph",
"hep-th",
"math.QA"
],
"doi": "10.1016/0375-9601(95)00036-3",
"journal_ref": "Phys. Lett. A 199 (1995) 1",
"title": "Connection Between q-Deformed Anharmonic Oscillators and Quasi-Exactly Soluble Potentials",
"url": "https://arxiv.org/abs/q-alg/9510023"
},
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