dorsal/arxiv
View SchemaPrecise estimation of shell model energy by second order extrapolation method
| Authors | Takahiro Mizusaki, Masatoshi Imada |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0302059 |
| URL | https://arxiv.org/abs/nucl-th/0302059 |
| DOI | 10.1103/PhysRevC.67.041301 |
| Journal | Phys.Rev. C67 (2003) 041301 |
Abstract
A second order extrapolation method is presented for shell model calculations, where shell model energies of truncated spaces are well described as a function of energy variance by quadratic curves and exact shell model energies can be obtained by the extrapolation. This new extrapolation can give more precise energy than those of first order extrapolation method. It is also clarified that first order extrapolation gives a lower limit of shell model energy. In addition to the energy, we derive the second order extrapolation formula for expectation values of other observables.
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"abstract": "A second order extrapolation method is presented for shell model\ncalculations, where shell model energies of truncated spaces are well described\nas a function of energy variance by quadratic curves and exact shell model\nenergies can be obtained by the extrapolation. This new extrapolation can give\nmore precise energy than those of first order extrapolation method. It is also\nclarified that first order extrapolation gives a lower limit of shell model\nenergy. In addition to the energy, we derive the second order extrapolation\nformula for expectation values of other observables.",
"arxiv_id": "nucl-th/0302059",
"authors": [
"Takahiro Mizusaki",
"Masatoshi Imada"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.67.041301",
"journal_ref": "Phys.Rev. C67 (2003) 041301",
"title": "Precise estimation of shell model energy by second order extrapolation method",
"url": "https://arxiv.org/abs/nucl-th/0302059"
},
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"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
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