Precise estimation of shell model energy by second-order extrapolation method

Takahiro Mizusaki, Masatoshi Imada

Research output: Contribution to journalArticle

25 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)413011-413015
Number of pages5
JournalPhysical Review C - Nuclear Physics
Volume67
Issue number4
Publication statusPublished - 2003 Apr 1
Externally publishedYes

Fingerprint

extrapolation
energy
curves

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Precise estimation of shell model energy by second-order extrapolation method. / Mizusaki, Takahiro; Imada, Masatoshi.

In: Physical Review C - Nuclear Physics, Vol. 67, No. 4, 01.04.2003, p. 413011-413015.

Research output: Contribution to journalArticle

@article{297fb8e40875466f8406a6b871d13958,
title = "Precise estimation of shell model energy by second-order extrapolation method",
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.",
author = "Takahiro Mizusaki and Masatoshi Imada",
year = "2003",
month = "4",
day = "1",
language = "English",
volume = "67",
pages = "413011--413015",
journal = "Physical Review C - Nuclear Physics",
issn = "0556-2813",
publisher = "American Physical Society",
number = "4",

}

TY - JOUR

T1 - Precise estimation of shell model energy by second-order extrapolation method

AU - Mizusaki, Takahiro

AU - Imada, Masatoshi

PY - 2003/4/1

Y1 - 2003/4/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0037794195&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0037794195&partnerID=8YFLogxK

M3 - Article

VL - 67

SP - 413011

EP - 413015

JO - Physical Review C - Nuclear Physics

JF - Physical Review C - Nuclear Physics

SN - 0556-2813

IS - 4

ER -