Shell model Monte Carlo methods

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...

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Bibliographic Details
Published in:Physics reports 1997, Vol.278 (1), p.1-77
Main Authors: Koonin, S.E., Dean, D.J., Langanke, K.
Format: Article
Language:English
Subjects:
Monte Carlo method
Nuclear shell model
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Summary: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.
ISSN:0370-1573
1873-6270
DOI:10.1016/S0370-1573(96)00017-8