dorsal/arxiv
View SchemaAn efficient projection algorithm and its application to the spurious center-of-mass motion problem
| Authors | H. Nakada, T. Sebe, T. Otsuka |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9712008 |
| URL | https://arxiv.org/abs/nucl-th/9712008 |
Abstract
Based on the correspondence of projection to an eigenvalue problem via the underlying group structure, we generalize the projection algorithm proposed by Morrison et al. This algorithm is eligible for large-scale computations, because we can avoid the accumulation of errors. As an example, we apply it to the spurious c.m. motion in a multi-$\hbar\omega$ shell-model calculation. In comparison with Lawson's method, the present method is exact and nevertheless does not need longer CPU time. It is pointed out that the exact treatment of the spurious c.m. motion is crucial to some physical quantities.
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"abstract": "Based on the correspondence of projection to an eigenvalue problem via the\nunderlying group structure, we generalize the projection algorithm proposed by\nMorrison et al. This algorithm is eligible for large-scale computations,\nbecause we can avoid the accumulation of errors. As an example, we apply it to\nthe spurious c.m. motion in a multi-$\\hbar\\omega$ shell-model calculation. In\ncomparison with Lawson\u0027s method, the present method is exact and nevertheless\ndoes not need longer CPU time. It is pointed out that the exact treatment of\nthe spurious c.m. motion is crucial to some physical quantities.",
"arxiv_id": "nucl-th/9712008",
"authors": [
"H. Nakada",
"T. Sebe",
"T. Otsuka"
],
"categories": [
"nucl-th",
"physics.comp-ph"
],
"title": "An efficient projection algorithm and its application to the spurious center-of-mass motion problem",
"url": "https://arxiv.org/abs/nucl-th/9712008"
},
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"variant": "snapshot-2026-03-01",
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