### Abstract

We review quantum Monte Carlo methods for dealing with large shell model problems. These methods reduce the imaginary-time many-body evolution operator to a coherent superposition of one-body evolutions in fluctuating one-body fields; the resultant path integral is evaluated stochastically. We first discuss the motivation, formalism, and implementation of such Shell Model Monte Carlo (SMMC) methods. There then follows a sampler of results and insights obtained from a number of applications. These include the ground state and thermal properties of pf-shell nuclei, the thermal and rotational behavior of rare-earth and γ-soft nuclei, and the calculation of double beta-decay matrix elements. Finally, prospects for further progress in such calculations are discussed.

Original language | English (US) |
---|---|

Pages (from-to) | 1-77 |

Number of pages | 77 |

Journal | Physics Report |

Volume | 278 |

Issue number | 1 |

State | Published - Jan 1997 |

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### Keywords

- Monte Carlo method
- Nuclear shell model

### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Physics Report*,

*278*(1), 1-77.

**Shell model Monte Carlo methods.** / Koonin, S. E.; Dean, D. J.; Langanke, K.

Research output: Contribution to journal › Article

*Physics Report*, vol. 278, no. 1, pp. 1-77.

}

TY - JOUR

T1 - Shell model Monte Carlo methods

AU - Koonin, S. E.

AU - Dean, D. J.

AU - Langanke, K.

PY - 1997/1

Y1 - 1997/1

N2 - We review quantum Monte Carlo methods for dealing with large shell model problems. These methods reduce the imaginary-time many-body evolution operator to a coherent superposition of one-body evolutions in fluctuating one-body fields; the resultant path integral is evaluated stochastically. We first discuss the motivation, formalism, and implementation of such Shell Model Monte Carlo (SMMC) methods. There then follows a sampler of results and insights obtained from a number of applications. These include the ground state and thermal properties of pf-shell nuclei, the thermal and rotational behavior of rare-earth and γ-soft nuclei, and the calculation of double beta-decay matrix elements. Finally, prospects for further progress in such calculations are discussed.

AB - We review quantum Monte Carlo methods for dealing with large shell model problems. These methods reduce the imaginary-time many-body evolution operator to a coherent superposition of one-body evolutions in fluctuating one-body fields; the resultant path integral is evaluated stochastically. We first discuss the motivation, formalism, and implementation of such Shell Model Monte Carlo (SMMC) methods. There then follows a sampler of results and insights obtained from a number of applications. These include the ground state and thermal properties of pf-shell nuclei, the thermal and rotational behavior of rare-earth and γ-soft nuclei, and the calculation of double beta-decay matrix elements. Finally, prospects for further progress in such calculations are discussed.

KW - Monte Carlo method

KW - Nuclear shell model

UR - http://www.scopus.com/inward/record.url?scp=0030641965&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0030641965&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0030641965

VL - 278

SP - 1

EP - 77

JO - Physics Reports

JF - Physics Reports

SN - 0370-1573

IS - 1

ER -