dorsal/arxiv
View SchemaFactorization, ladder operators and isospectral structures
| Authors | A. Pérez-Lorenzana |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9602003 |
| URL | https://arxiv.org/abs/quant-ph/9602003 |
Abstract
Using the modified factorization method employed by Mielnik for the harmonic oscillator, we show that isospectral structures associated with a second order operator $H$, can always be constructed whenever $H$ could be factored, or exist ladder operators for its eigenfunctions. Three examples are shown, and properties like completeness and integrability are discused for the general case.
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"abstract": "Using the modified factorization method employed by Mielnik for the harmonic\noscillator, we show that isospectral structures associated with a second order\noperator $H$, can always be constructed whenever $H$ could be factored, or\nexist ladder operators for its eigenfunctions. Three examples are shown, and\nproperties like completeness and integrability are discused for the general\ncase.",
"arxiv_id": "quant-ph/9602003",
"authors": [
"A. P\u00e9rez-Lorenzana"
],
"categories": [
"quant-ph"
],
"title": "Factorization, ladder operators and isospectral structures",
"url": "https://arxiv.org/abs/quant-ph/9602003"
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