Fermion Monte Carlo

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We review the fundamental challenge of fermion Monte Carlo for continuous systems, the "sign problem". We seek that eigenfunction of the many-body Schriodinger equation that is antisymmetric under interchange of the coordinates of pairs of particles. We describe methods that depend upon the use of correlated dynamics for pairs of correlated walkers that carry opposite signs. There is an algorithmic symmetry between such walkers that must be broken to create a method that is both exact and as effective as for symmetric functions, In our new method, it is broken by using different "guiding" functions for walkers of opposite signs, ... continued below

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Kalos, M. H. & Pederiva, F. December 1, 1998.

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We review the fundamental challenge of fermion Monte Carlo for continuous systems, the "sign problem". We seek that eigenfunction of the many-body Schriodinger equation that is antisymmetric under interchange of the coordinates of pairs of particles. We describe methods that depend upon the use of correlated dynamics for pairs of correlated walkers that carry opposite signs. There is an algorithmic symmetry between such walkers that must be broken to create a method that is both exact and as effective as for symmetric functions, In our new method, it is broken by using different "guiding" functions for walkers of opposite signs, and a geometric correlation between steps of their walks, With a specific process of cancellation of the walkers, overlaps with antisymmetric test functions are preserved. Finally, we describe the progress in treating free-fermion systems and a fermion fluid with 14 <sup>3</sup>He atoms.

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  • Proceedings of the Conference on Computational Physics, Granada, Spain, September 2-5, 1998

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  • Other: DE00003386
  • Report No.: UCRL-JC-132583
  • Grant Number: W-7405-Eng-48
  • Office of Scientific & Technical Information Report Number: 3386
  • Archival Resource Key: ark:/67531/metadc682014

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Office of Scientific & Technical Information Technical Reports

Reports, articles and other documents harvested from the Office of Scientific and Technical Information.

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  • December 1, 1998

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  • July 25, 2015, 2:20 a.m.

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  • May 6, 2016, 9:55 p.m.

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Kalos, M. H. & Pederiva, F. Fermion Monte Carlo, article, December 1, 1998; Livermore, California. (digital.library.unt.edu/ark:/67531/metadc682014/: accessed September 21, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.