dorsal/arxiv
View SchemaOn first-order scaling intertwining in quantum mechanics
| Authors | D. J. Fernandez C., H. C. Rosu |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0102091 |
| URL | https://arxiv.org/abs/quant-ph/0102091 |
| Journal | Rev. Mex. Fis. 46 S2 (Nov. 2000) 153-156 |
Abstract
We generalize the standard first-order intertwining relationship of supersymmetric quantum mechanics in order to include simultaneous scaling transformations in both the original Hamiltonian and the intertwining operator. It is argued that in this way one can generate potentials with more interesting spectra than those obtained by means of the standard first-order intertwining technique and, as an outcome, a simple engineering procedure is presented. The harmonic oscillator potential is used in order to illustrate the previous statements. Moreover, a matrix representation of the scaled intertwining relationship is sketched up allowing for higher-dimensional generalizations in the case of separable potentials
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"abstract": "We generalize the standard first-order intertwining relationship of\nsupersymmetric quantum mechanics in order to include simultaneous scaling\ntransformations in both the original Hamiltonian and the intertwining operator.\nIt is argued that in this way one can generate potentials with more interesting\nspectra than those obtained by means of the standard first-order intertwining\ntechnique and, as an outcome, a simple engineering procedure is presented. The\nharmonic oscillator potential is used in order to illustrate the previous\nstatements. Moreover, a matrix representation of the scaled intertwining\nrelationship is sketched up allowing for higher-dimensional generalizations in\nthe case of separable potentials",
"arxiv_id": "quant-ph/0102091",
"authors": [
"D. J. Fernandez C.",
"H. C. Rosu"
],
"categories": [
"quant-ph"
],
"journal_ref": "Rev. Mex. Fis. 46 S2 (Nov. 2000) 153-156",
"title": "On first-order scaling intertwining in quantum mechanics",
"url": "https://arxiv.org/abs/quant-ph/0102091"
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