dorsal/arxiv
View SchemaIterative Solution for Effective Interactions in a System with Non-degenerate Unperturbed Energies
| Authors | K. Suzuki, R. Okamoto, P. J. Ellis, T. T. S. Kuo |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9306022 |
| URL | https://arxiv.org/abs/nucl-th/9306022 |
| DOI | 10.1016/0375-9474(94)90025-6 |
| Journal | Nucl.Phys. A567 (1994) 576-590 |
Abstract
We generalize the Lee-Suzuki iteration method for summing the folded diagram series to the case where the unperturbed model-space energies are non-degenerate. A condition is derived for the convergence of the iteration scheme and this depends on the choice of the model space projection operators. Two choices are examined, in the first the projection operators are defined in terms of the unperturbed states and in the second they are defined in terms of the eigenfunctions obtained at each stage of the iteration. As is illustrated by calculations with a simple model, the second procedure gives the better convergence and, by suitable choice of the starting energies, allows the reproduction of any subset of the exact eigenvalues.
{
"annotation_id": "8b330a28-e8bd-44e1-a7d2-94ec29aea503",
"date_created": "2026-03-02T18:00:11.911000Z",
"date_modified": "2026-03-02T18:00:11.911000Z",
"file_hash": "2d5bf08fcc00c377d696bfd0be5ace136baf6af866f5dee6648527f8890c2c9f",
"private": false,
"record": {
"abstract": "We generalize the Lee-Suzuki iteration method for summing the folded diagram\nseries to the case where the unperturbed model-space energies are\nnon-degenerate. A condition is derived for the convergence of the iteration\nscheme and this depends on the choice of the model space projection operators.\nTwo choices are examined, in the first the projection operators are defined in\nterms of the unperturbed states and in the second they are defined in terms of\nthe eigenfunctions obtained at each stage of the iteration. As is illustrated\nby calculations with a simple model, the second procedure gives the better\nconvergence and, by suitable choice of the starting energies, allows the\nreproduction of any subset of the exact eigenvalues.",
"arxiv_id": "nucl-th/9306022",
"authors": [
"K. Suzuki",
"R. Okamoto",
"P. J. Ellis",
"T. T. S. Kuo"
],
"categories": [
"nucl-th"
],
"doi": "10.1016/0375-9474(94)90025-6",
"journal_ref": "Nucl.Phys. A567 (1994) 576-590",
"title": "Iterative Solution for Effective Interactions in a System with Non-degenerate Unperturbed Energies",
"url": "https://arxiv.org/abs/nucl-th/9306022"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "58611ca9-5d1f-4835-830e-e0936c16eca6",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}