dorsal/arxiv
View SchemaThree-potential formalism for the atomic three-body problem
| Authors | Z. Papp |
|---|---|
| Categories | |
| ArXiv ID | physics/9702001 |
| URL | https://arxiv.org/abs/physics/9702001 |
| DOI | 10.1007/s006010050089 |
Abstract
Based on a three-potential formalism we propose mathematically well-behaved Faddeev-type integral equations for the atomic three-body problem and descibe their solutions in Coulomb-Sturmian space representation. Although the system contains only long-range Coulomb interactions these equations allow us to reach solution by approximating only some auxiliary short-range type potentials. We outline the method for bound states and demonstrate its power in benchmark calculations. We can report a fast convergence in angular momentum channels.
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"abstract": "Based on a three-potential formalism we propose mathematically well-behaved\nFaddeev-type integral equations for the atomic three-body problem and descibe\ntheir solutions in Coulomb-Sturmian space representation. Although the system\ncontains only long-range Coulomb interactions these equations allow us to reach\nsolution by approximating only some auxiliary short-range type potentials. We\noutline the method for bound states and demonstrate its power in benchmark\ncalculations. We can report a fast convergence in angular momentum channels.",
"arxiv_id": "physics/9702001",
"authors": [
"Z. Papp"
],
"categories": [
"physics.atom-ph"
],
"doi": "10.1007/s006010050089",
"title": "Three-potential formalism for the atomic three-body problem",
"url": "https://arxiv.org/abs/physics/9702001"
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