dorsal/arxiv
View SchemaBetween Schroedinger and Hermite: Supersymmetric pair of q-deformed non-local operators
| Authors | H. C. Rosu |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9904046 |
| URL | https://arxiv.org/abs/quant-ph/9904046 |
| Journal | Int. J. Theor. Phys. 39 (Sept. 2000) 2191-2196 |
Abstract
A simple version of the q-deformed calculus is used to generate a pair of q-nonlocal, second-order difference operators by means of deformed counterparts of Darboux intertwining operators for zero factorization energy. These deformed non-local operators may be considered as supersymmetric partners and their structure contains contributions originating in both the Hermite operator and the quantum harmonic oscillator operator. There are also extra $\pm x$ contributions. The undeformed limit, in which all q-nonlocalities wash out, corresponds to the usual supersymmetric pair of quantum mechanical harmonic oscillator Hamiltonians. The more general case of negative factorization energy is briefly discussed as well
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"abstract": "A simple version of the q-deformed calculus is used to generate a pair of\nq-nonlocal, second-order difference operators by means of deformed counterparts\nof Darboux intertwining operators for zero factorization energy. These deformed\nnon-local operators may be considered as supersymmetric partners and their\nstructure contains contributions originating in both the Hermite operator and\nthe quantum harmonic oscillator operator. There are also extra $\\pm x$\ncontributions. The undeformed limit, in which all q-nonlocalities wash out,\ncorresponds to the usual supersymmetric pair of quantum mechanical harmonic\noscillator Hamiltonians. The more general case of negative factorization energy\nis briefly discussed as well",
"arxiv_id": "quant-ph/9904046",
"authors": [
"H. C. Rosu"
],
"categories": [
"quant-ph"
],
"journal_ref": "Int. J. Theor. Phys. 39 (Sept. 2000) 2191-2196",
"title": "Between Schroedinger and Hermite: Supersymmetric pair of q-deformed non-local operators",
"url": "https://arxiv.org/abs/quant-ph/9904046"
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