dorsal/arxiv
View SchemaRecurrence relations for relativistic two centre matrix elements
| Authors | A. C. Ilarraza-Lomelí, R. P. Martínez-y-Romero, H. N. Núñez-Yépez, A. L. Salas-Brito, M. N. Valdés-Martínez |
|---|---|
| Categories | |
| ArXiv ID | physics/0304071 |
| URL | https://arxiv.org/abs/physics/0304071 |
Abstract
Recursion formulae are derived for the calculation of two centre matrix elements of a radial function in relativistic quantum mechanics. The recursions are obtained between not necessarily diagonal radial eigensates using arbitrary radial potentials and any radial functions. The only restriction is that the potentials have to share a common minimum. Among other things, the relations so obtained can help in evaluating relativistic corrections to transition probabilities between atomic Rydberg states.
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"date_created": "2026-03-02T18:00:43.472000Z",
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"abstract": "Recursion formulae are derived for the calculation of two centre matrix\nelements of a radial function in relativistic quantum mechanics. The recursions\nare obtained between not necessarily diagonal radial eigensates using arbitrary\nradial potentials and any radial functions. The only restriction is that the\npotentials have to share a common minimum. Among other things, the relations so\nobtained can help in evaluating relativistic corrections to transition\nprobabilities between atomic Rydberg states.",
"arxiv_id": "physics/0304071",
"authors": [
"A. C. Ilarraza-Lomel\u00ed",
"R. P. Mart\u00ednez-y-Romero",
"H. N. N\u00fa\u00f1ez-Y\u00e9pez",
"A. L. Salas-Brito",
"M. N. Vald\u00e9s-Mart\u00ednez"
],
"categories": [
"physics.atom-ph"
],
"title": "Recurrence relations for relativistic two centre matrix elements",
"url": "https://arxiv.org/abs/physics/0304071"
},
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"source": {
"execution_id": "647cbca9-d346-4f12-b8ee-2e0e2cc70a16",
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"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
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