dorsal/arxiv
View SchemaMultichannel coupling with supersymmetric quantum mechanics and exactly-solvable model for Feshbach resonance
| Authors | J. -M. Sparenberg, B. F. Samsonov, F. Foucart, D. Baye |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0601101 |
| URL | https://arxiv.org/abs/quant-ph/0601101 |
| DOI | 10.1088/0305-4470/39/45/L03 |
| Journal | J. Phys. A: Math. Gen. 39 (2006) L639 - L645 |
Abstract
A new type of supersymmetric transformations of the coupled-channel radial Schroedinger equation is introduced, which do not conserve the vanishing behavior of solutions at the origin. Contrary to usual transformations, these ``non-conservative'' transformations allow, in the presence of thresholds, the construction of potentials with coupled scattering matrices from uncoupled potentials. As an example, an exactly-solvable potential matrix is obtained which provides a very simple model of Feshbach-resonance phenomenon.
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"abstract": "A new type of supersymmetric transformations of the coupled-channel radial\nSchroedinger equation is introduced, which do not conserve the vanishing\nbehavior of solutions at the origin. Contrary to usual transformations, these\n``non-conservative\u0027\u0027 transformations allow, in the presence of thresholds, the\nconstruction of potentials with coupled scattering matrices from uncoupled\npotentials. As an example, an exactly-solvable potential matrix is obtained\nwhich provides a very simple model of Feshbach-resonance phenomenon.",
"arxiv_id": "quant-ph/0601101",
"authors": [
"J. -M. Sparenberg",
"B. F. Samsonov",
"F. Foucart",
"D. Baye"
],
"categories": [
"quant-ph",
"math-ph",
"math.MP"
],
"doi": "10.1088/0305-4470/39/45/L03",
"journal_ref": "J. Phys. A: Math. Gen. 39 (2006) L639 - L645",
"title": "Multichannel coupling with supersymmetric quantum mechanics and exactly-solvable model for Feshbach resonance",
"url": "https://arxiv.org/abs/quant-ph/0601101"
},
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