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 behavior of γ-soft nuclei, and the calculation of double beta-decay matrix elements. Finally, prospects for further progress in such calculations are discussed.
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© 1997 Springer-Verlag
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Koonin, S.E. (1997). Shell model monte carlo methods. In: Pan, XW., Feng, D., Vallières, M. (eds) Contemporary Nuclear Shell Models. Lecture Notes in Physics, vol 482. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0104366
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DOI: https://doi.org/10.1007/BFb0104366
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-62551-3
Online ISBN: 978-3-540-68068-0
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