dorsal/arxiv
View SchemaA dressing of zero-range potentials and electron-molecule scattering problem at Ramsauer-Townsend minimum
| Authors | S. Leble, S. Yalunin |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0410055 |
| URL | https://arxiv.org/abs/quant-ph/0410055 |
| DOI | 10.1016/j.physleta.2005.01.096 |
Abstract
A dressing technique is used to improve zero range potential (ZRP) model. We consider a Darboux transformation starting with a ZRP, the result of the "dressing" gives a potential with non-zero range that depends on a seed solution parameters. Concepts of the partial waves and partial phases for non-spherical potential are used in order to perform Darboux transformation. The problem of scattering on the regular X$_{\hbox{n}}$ and YX$_{\hbox{n}}$ structures is studied. The results of the low-energy electron-molecule scattering on the dressed ZRPs are illustrated by model calculation for the configuration and parameters of the silane ($\hbox{SiH}_4$) molecule. \center{Key words: low-energy scattering, multiple scattering, Ramsauer-Townsend minimum, silane, zero range potential.
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"abstract": "A dressing technique is used to improve zero range potential (ZRP) model. We\nconsider a Darboux transformation starting with a ZRP, the result of the\n\"dressing\" gives a potential with non-zero range that depends on a seed\nsolution parameters. Concepts of the partial waves and partial phases for\nnon-spherical potential are used in order to perform Darboux transformation.\nThe problem of scattering on the regular X$_{\\hbox{n}}$ and YX$_{\\hbox{n}}$\nstructures is studied. The results of the low-energy electron-molecule\nscattering on the dressed ZRPs are illustrated by model calculation for the\nconfiguration and parameters of the silane ($\\hbox{SiH}_4$) molecule.\n\\center{Key words: low-energy scattering, multiple scattering,\nRamsauer-Townsend minimum, silane, zero range potential.",
"arxiv_id": "quant-ph/0410055",
"authors": [
"S. Leble",
"S. Yalunin"
],
"categories": [
"quant-ph"
],
"doi": "10.1016/j.physleta.2005.01.096",
"title": "A dressing of zero-range potentials and electron-molecule scattering problem at Ramsauer-Townsend minimum",
"url": "https://arxiv.org/abs/quant-ph/0410055"
},
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