{ "id": "nucl-th/9602006", "version": "v1", "published": "1996-02-05T20:59:14.000Z", "updated": "1996-02-05T20:59:14.000Z", "title": "Shell Model Monte Carlo Methods", "authors": [ "S. E. Koonin", "D. J. Dean", "K. Langanke" ], "journal": "Phys.Rept. 278 (1997) 1-77", "doi": "10.1007/BFb0104366", "categories": [ "nucl-th" ], "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 {\\it pf}-shell nuclei, the thermal and rotational behavior of rare-earth and $\\gamma$-soft nuclei, and the calculation of double beta-decay matrix elements. Finally, prospects for further progress in such calculations are discussed.", "revisions": [ { "version": "v1", "updated": "1996-02-05T20:59:14.000Z" } ], "analyses": { "keywords": [ "shell model monte carlo methods", "review quantum monte carlo methods", "imaginary-time many-body evolution operator", "large shell model problems", "double beta-decay matrix elements" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "inspire": 415758 } } }