dorsal/arxiv
View SchemaShell Model Monte Carlo Methods
| Authors | S. E. Koonin, D. J. Dean, K. Langanke |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9602006 |
| URL | https://arxiv.org/abs/nucl-th/9602006 |
| DOI | 10.1007/BFb0104366 |
| Journal | Phys.Rept. 278 (1997) 1-77 |
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.
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"abstract": "We review quantum Monte Carlo methods for dealing with large shell model\nproblems. These methods reduce the imaginary-time many-body evolution operator\nto a coherent superposition of one-body evolutions in fluctuating one-body\nfields; the resultant path integral is evaluated stochastically. We first\ndiscuss the motivation, formalism, and implementation of such Shell Model Monte\nCarlo (SMMC) methods. There then follows a sampler of results and insights\nobtained from a number of applications. These include the ground state and\nthermal properties of {\\it pf}-shell nuclei, the thermal and rotational\nbehavior of rare-earth and $\\gamma$-soft nuclei, and the calculation of double\nbeta-decay matrix elements. Finally, prospects for further progress in such\ncalculations are discussed.",
"arxiv_id": "nucl-th/9602006",
"authors": [
"S. E. Koonin",
"D. J. Dean",
"K. Langanke"
],
"categories": [
"nucl-th"
],
"doi": "10.1007/BFb0104366",
"journal_ref": "Phys.Rept. 278 (1997) 1-77",
"title": "Shell Model Monte Carlo Methods",
"url": "https://arxiv.org/abs/nucl-th/9602006"
},
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