dorsal/arxiv
View SchemaExact Solution of a Class of Three-Body Scattering Problems in One dimension
| Authors | Avinash Khare, Uday P. Sukhatme |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9802050 |
| URL | https://arxiv.org/abs/quant-ph/9802050 |
| DOI | 10.1016/S0375-9601(98)00090-5 |
| Journal | Phys.Lett. A241 (1998) 14-18 |
Abstract
We present an exact solution of the three-body scattering problem for a one parameter family of one dimensional potentials containing the Calogero and Wolfes potentials as special limiting cases. The result is an interesting nontrivial relationship between the final momenta $p'_i$ and the initial momenta $p_i$ of the three particles. We also discuss another one parameter family of potentials for all of which $p'_i=-p_i~(i=1,2,3)$.
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"abstract": "We present an exact solution of the three-body scattering problem for a one\nparameter family of one dimensional potentials containing the Calogero and\nWolfes potentials as special limiting cases. The result is an interesting\nnontrivial relationship between the final momenta $p\u0027_i$ and the initial\nmomenta $p_i$ of the three particles. We also discuss another one parameter\nfamily of potentials for all of which $p\u0027_i=-p_i~(i=1,2,3)$.",
"arxiv_id": "quant-ph/9802050",
"authors": [
"Avinash Khare",
"Uday P. Sukhatme"
],
"categories": [
"quant-ph"
],
"doi": "10.1016/S0375-9601(98)00090-5",
"journal_ref": "Phys.Lett. A241 (1998) 14-18",
"title": "Exact Solution of a Class of Three-Body Scattering Problems in One dimension",
"url": "https://arxiv.org/abs/quant-ph/9802050"
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