dorsal/arxiv
View SchemaScattering Wave Functions at Bound State Poles
| Authors | Goeran Faeldt, Colin Wilkin |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9610032 |
| URL | https://arxiv.org/abs/quant-ph/9610032 |
| DOI | 10.1088/0031-8949/56/6/004 |
Abstract
The normalisation relation between the bound and scattering S-state wave functions, extrapolated to the bound state pole, is derived from the Schroedinger equation. It is shown that, unlike previous work, the result does not depend on the details of the potential through the corresponding Jost function but is given uniquely in terms of the binding energy. The generalisations to higher partial waves and one-dimensional scattering are given.
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"abstract": "The normalisation relation between the bound and scattering S-state wave\nfunctions, extrapolated to the bound state pole, is derived from the\nSchroedinger equation. It is shown that, unlike previous work, the result does\nnot depend on the details of the potential through the corresponding Jost\nfunction but is given uniquely in terms of the binding energy. The\ngeneralisations to higher partial waves and one-dimensional scattering are\ngiven.",
"arxiv_id": "quant-ph/9610032",
"authors": [
"Goeran Faeldt",
"Colin Wilkin"
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"doi": "10.1088/0031-8949/56/6/004",
"title": "Scattering Wave Functions at Bound State Poles",
"url": "https://arxiv.org/abs/quant-ph/9610032"
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