dorsal/arxiv
View SchemaBound State Calculations for Three Atoms Without Explicit Partial Wave Decomposition
| Authors | V. A. Roudnev, S. L. Yakovlev, S. A. Sofianos |
|---|---|
| Categories | |
| ArXiv ID | physics/0204025 |
| URL | https://arxiv.org/abs/physics/0204025 |
Abstract
A method to calculate the bound states of three-atoms without resorting to an explicit partial wave decomposition is presented. The differential form of the Faddeev equations in the total angular momentum representation is used for this purpose. The method utilizes Cartesian coordinates combined with the tensor-trick preconditioning for large linear systems and Arnoldi's algorithm for eigenanalysis. As an example, we consider the He$_3$ system in which the interatomic force has a very strong repulsive core that makes the three-body calculations with standard methods tedious and cumbersome requiring the inclusion of a large number of partial waves. The results obtained compare favorably with other results in the field.
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"abstract": "A method to calculate the bound states of three-atoms without resorting to an\nexplicit partial wave decomposition is presented. The differential form of the\nFaddeev equations in the total angular momentum representation is used for this\npurpose. The method utilizes Cartesian coordinates combined with the\ntensor-trick preconditioning for large linear systems and Arnoldi\u0027s algorithm\nfor eigenanalysis. As an example, we consider the He$_3$ system in which the\ninteratomic force has a very strong repulsive core that makes the three-body\ncalculations with standard methods tedious and cumbersome requiring the\ninclusion of a large number of partial waves. The results obtained compare\nfavorably with other results in the field.",
"arxiv_id": "physics/0204025",
"authors": [
"V. A. Roudnev",
"S. L. Yakovlev",
"S. A. Sofianos"
],
"categories": [
"physics.comp-ph",
"physics.atm-clus",
"physics.chem-ph"
],
"title": "Bound State Calculations for Three Atoms Without Explicit Partial Wave Decomposition",
"url": "https://arxiv.org/abs/physics/0204025"
},
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