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Tunneling of a many-Fermion system in one dimension

  • J. W. Negele
IV. Path Integrals and Monte Carlo Methods
Part of the Lecture Notes in Physics book series (LNP, volume 171)

Abstract

A method is presented for stochastic evaluation of ground state properties and tunneling decay of many-fermion systems in one spatial dimension. Application to a model problem defined to produce saturation, strong short-range repulsive-core correlations, and spontaneous fission provides the opportunity to test the stationary-phase approximation and assumptions concerning the effective interaction presently utilized in the mean-field theory of spontaneous fission.

Keywords

Ground State Energy Evolution Operator Importance Sampling Trial Function Virial Theorem 
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References

  1. 1).
    A thorough review by the author including extensive references to recent work will appear in Rev. Mod. Phys., October 1982.Google Scholar
  2. 2).
    E. Abers and B. Lee, Phys. Rept. 9, 1 1973.Google Scholar
  3. 3).
    S. E. Koonin, Proceedings of Santa Barbara Workshop on Nuclear Theory, 1981 and private communication.Google Scholar
  4. 4).
    D. M. Ceperly and M. H. Kalos, Monte Carlo Methods in Statistical Physics, Ed. K. Binder, Springer Verlag NY 1979, p. 145.Google Scholar
  5. 5).
    G. Bertsch, Private Communication.Google Scholar
  6. 6).
    N. Metropolis, A. Rosenbluth, M. Rosenbluth, A. Teller and E. Teller, J. Chem. Phys. 21 (1953) 1087.Google Scholar
  7. 7).
    M. Creutz and B. Freedman, Ann. Phys. NY 132, 427 (1981).Google Scholar
  8. 8).
    Karlin and Taylor, Course in Stochastic Processes, Academic Press (1975).Google Scholar

Copyright information

© Springer-Verlag 1982

Authors and Affiliations

  • J. W. Negele
    • 1
  1. 1.Center for Theoretical PhysicsMassachusetts Institute of TechnologyCambridge

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