dorsal/arxiv
View SchemaRecursion relations for Hylleraas three-electron integral
| Authors | Krzysztof Pachucki, Mariusz Puchalski, Ettore Remiddi |
|---|---|
| Categories | |
| ArXiv ID | physics/0405057 |
| URL | https://arxiv.org/abs/physics/0405057 |
| DOI | 10.1103/PhysRevA.70.032502 |
Abstract
Recursion relations for Hylleraas three-electron integral are obtained in a closed form by using integration by parts identities. Numerically fast and well stable algorithm for the calculation of the integral with high powers of inter-electronic coordinates is presented.
{
"annotation_id": "438bda50-7ee0-4787-9ebe-64305ad34d12",
"date_created": "2026-03-02T18:00:50.252000Z",
"date_modified": "2026-03-02T18:00:50.252000Z",
"file_hash": "5cf3e3c358c423d14de7eeb69c8e50ac03fd27bbf86124ac23cefc561f9a401b",
"private": false,
"record": {
"abstract": "Recursion relations for Hylleraas three-electron integral are obtained in a\nclosed form by using integration by parts identities. Numerically fast and well\nstable algorithm for the calculation of the integral with high powers of\ninter-electronic coordinates is presented.",
"arxiv_id": "physics/0405057",
"authors": [
"Krzysztof Pachucki",
"Mariusz Puchalski",
"Ettore Remiddi"
],
"categories": [
"physics.atom-ph",
"physics.chem-ph"
],
"doi": "10.1103/PhysRevA.70.032502",
"title": "Recursion relations for Hylleraas three-electron integral",
"url": "https://arxiv.org/abs/physics/0405057"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "3e316758-b8b2-49e4-acf7-d554bb2f4721",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}