Shell model Monte Carlo methods

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

Research output: Contribution to journalReview articlepeer-review


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
Issue number1
StatePublished - Jan 1997


  • Monte Carlo method
  • Nuclear shell model

ASJC Scopus subject areas

  • General Physics and Astronomy


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