dorsal/arxiv
View Schema$C_{\lambda}$-extended harmonic oscillator and (para)supersymmetric quantum mechanics
| Authors | C. Quesne, N. Vansteenkiste |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9802066 |
| URL | https://arxiv.org/abs/quant-ph/9802066 |
| DOI | 10.1016/S0375-9601(98)00046-2 |
| Journal | Phys.Lett. A240 (1998) 21-28 |
Abstract
$C_{\lambda}$-extended oscillator algebras are realized as generalized deformed oscillator algebras. For $\lambda = 3$, the spectrum of the corresponding bosonic oscillator Hamiltonian is shown to strongly depend on the algebra parameters. A connection with cyclic shape invariant potentials is noted. A bosonization of PSSQM of order two is obtained.
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"abstract": "$C_{\\lambda}$-extended oscillator algebras are realized as generalized\ndeformed oscillator algebras. For $\\lambda = 3$, the spectrum of the\ncorresponding bosonic oscillator Hamiltonian is shown to strongly depend on the\nalgebra parameters. A connection with cyclic shape invariant potentials is\nnoted. A bosonization of PSSQM of order two is obtained.",
"arxiv_id": "quant-ph/9802066",
"authors": [
"C. Quesne",
"N. Vansteenkiste"
],
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"doi": "10.1016/S0375-9601(98)00046-2",
"journal_ref": "Phys.Lett. A240 (1998) 21-28",
"title": "$C_{\\lambda}$-extended harmonic oscillator and (para)supersymmetric quantum mechanics",
"url": "https://arxiv.org/abs/quant-ph/9802066"
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