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Mean-field Monte Carlo method for many-body ground states

  • IV. Path Integrals and Monte Carlo Methods
  • Conference paper
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Time-Dependent Hartree-Fock and Beyond

Part of the book series: Lecture Notes in Physics ((LNP,volume 171))

Abstract

A method is described for calculating the exact ground state energy of a many-body system, whether fermion or boson. The Hubbard-Stratonovich representation of the imaginary-time many-body propagator is used to express the ground-state energy as a ratio of two functional integrals. When discretized on a space-time mesh, the Monte-Carlo evaluation of this ratio is equivalent to many TDHF evolutions of the system in a random mean-field. The method is illustrated by application to a many-boson system in one dimension with a zero-range two-body interaction.

Work supported in part by National Science Foundation grants PHY77-21602 and PHY7-23638.

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References

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Authors and Affiliations

  1. Radiation Laboratory, Caltech, 91125, Pasadena, California, USA

    S. E. Koonin, G. Sugiyama, H. Friedrichl & W. K. Kellogg (Fellow of the Heisenberg Program of the Deutsche Forschungsgemeinschaft)

Authors
  1. S. E. Koonin
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  2. G. Sugiyama
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  3. H. Friedrichl
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  4. W. K. Kellogg
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Editor information

K. Goeke P. -G. Reinhard

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© 1982 Springer-Verlag

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Koonin, S.E., Sugiyama, G., Friedrichl, H., Kellogg, W.K. (1982). Mean-field Monte Carlo method for many-body ground states. In: Goeke, K., Reinhard, P.G. (eds) Time-Dependent Hartree-Fock and Beyond. Lecture Notes in Physics, vol 171. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-11950-7_18

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  • DOI: https://doi.org/10.1007/3-540-11950-7_18

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11950-0

  • Online ISBN: 978-3-540-39536-2

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