dorsal/arxiv
View SchemaRelativistic J-matrix method
| Authors | Pawel Horodecki |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0007073 |
| URL | https://arxiv.org/abs/quant-ph/0007073 |
| DOI | 10.1103/PhysRevA.62.052716 |
Abstract
The relativistic version of the J-matrix method for a scattering problem on the potential vanishing faster than the Coulomb one is formulated. As in the non-relativistic case it leads to a finite algebraic eigenvalue problem. The derived expression for the tangent of phase shift is simply related to the non-relativistic case formula and gives the latter as a limit case. It is due to the fact that the used basis set satisfies the ``kinetic balance condition''.
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"abstract": "The relativistic version of the J-matrix method for a scattering problem on\nthe potential vanishing faster than the Coulomb one is formulated. As in the\nnon-relativistic case it leads to a finite algebraic eigenvalue problem. The\nderived expression for the tangent of phase shift is simply related to the\nnon-relativistic case formula and gives the latter as a limit case. It is due\nto the fact that the used basis set satisfies the ``kinetic balance\ncondition\u0027\u0027.",
"arxiv_id": "quant-ph/0007073",
"authors": [
"Pawel Horodecki"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.62.052716",
"title": "Relativistic J-matrix method",
"url": "https://arxiv.org/abs/quant-ph/0007073"
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