Abstract
Stochastic evaluation of path integrals provides a useful tool for the study of a variety of nuclear systems which are otherwise not amenable to definitive analysis through perturbative, variational, or stationary-phase approximations. Ground state properties of potential models, such as quantum fluctuations in the density, are examined. Tunneling problems in quantum many-particle systems, such as spontaneous fission and the ground state structure of systems with degenerate vacuua are treated by incorporating one's physical understanding of the essential collective degrees of freedom in the stochastic algorithm. The role of subnuclear degrees of freedom is studied by comparing the exact solution of a simple confining quark model with the solution to a phase-shift equivalent hadronic potential model.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
D. M. Ceperley and M. H. Kalos,Monte Carlo Methods in Statistical Mechanics, K. Binder, ed. (Springer-Verlag, New York, 1979).
S. E. Koonin,Nuclear Theory 1981, G. F. Bertsch, ed. (World Scientific, 1981).
J. W. Negele,Proceedings of the International Symposium on Time-Dependent Hartree-Fock and Beyond, Lecture Notes in Physics, No. 171, K. Geoke and P. G. Reinhardt, eds. (Springer-Verlag, New York, 1982).
C. Horowitz, E. Moniz, and J. W. Negele,Phys. Rev. D 31:1689 (1985).
J. W. Negele,Proceedings of “Path Integrals from mev to MeV” J. Klauder, ed. (Bielefeld, 1985).
J. W. Negele,Rev. Mod. Phys. 54:913 (1982).
N. Metropolis, A. Rosenbluth, M. Rosenbluth, A. Teller, and E. Teller,J. Chem. Phys. 21:1087 (1953).
J. W. Moskowitz, K. E. Schmidt, M. A. Lee, and M. H. Kalos,J. Chem. Phys. 77:349 (1982).
D. Ceperley and M. Kalos, private communication; E. L. Pollack and D. M. Ceperley,Phys. Rev. B 30:2555 (1984).
J. Langer,Ann. Phys. (N.Y.) 54:258 (1969).
A. M. Polyakov,Nucl. Phys. B 121:429 (1977).
S. Coleman, inThe Whys of Nuclear Physics, A. Zichichi, ed. (Plenum, New York, 1977), p. 805.
C. Alexandrou, Ph. D. dissertation (MIT, 1985).
M. Creutz and B. Freedman,Ann. Phys. 132:427 (1981).
F. Lenz, J. T. Longergan, E. J. Moniz, R. Rosenfelder, M. Stingl, and K. Yazaki,Ann. Phys. in press.
R. M. Panoff, private communication.
Author information
Authors and Affiliations
Additional information
This work is supported in part through funds provided by the U.S. Department of Energy (D.O.E.) under contract number DE-AC02-76ERO3069.
Rights and permissions
About this article
Cite this article
Negele, J.W. Monte Carlo studies of nuclear many-particle systems. J Stat Phys 43, 991–1015 (1986). https://doi.org/10.1007/BF02628326
Issue Date:
DOI: https://doi.org/10.1007/BF02628326