Shell model Monte Carlo methods

S. E. Koonin, D. J. Dean, K. Langanke

Research output: Contribution to journalArticle

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 languageEnglish (US)
Pages (from-to)1-77
Number of pages77
JournalPhysics Report
Volume278
Issue number1
StatePublished - Jan 1997

Fingerprint

Monte Carlo method
samplers
nuclei
rare earth elements
thermodynamic properties
formalism
operators
ground state
decay
matrices

Keywords

  • Monte Carlo method
  • Nuclear shell model

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Koonin, S. E., Dean, D. J., & Langanke, K. (1997). Shell model Monte Carlo methods. Physics Report, 278(1), 1-77.

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

In: Physics Report, Vol. 278, No. 1, 01.1997, p. 1-77.

Research output: Contribution to journalArticle

Koonin, SE, Dean, DJ & Langanke, K 1997, 'Shell model Monte Carlo methods', Physics Report, vol. 278, no. 1, pp. 1-77.
Koonin SE, Dean DJ, Langanke K. Shell model Monte Carlo methods. Physics Report. 1997 Jan;278(1):1-77.
Koonin, S. E. ; Dean, D. J. ; Langanke, K. / Shell model Monte Carlo methods. In: Physics Report. 1997 ; Vol. 278, No. 1. pp. 1-77.
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