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Pauli Potential and Green-Function Monte-Carlo Method for Many-Fermion Systems

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Abstract.

The time evolution of a many-fermion system can be described by a Green's function corresponding to an effective potential that takes anti-symmetrization of the wave function into account, called the Pauli potential. We show that this idea can be combined with the Green's-function Monte-Carlo method to accurately simulate a system of many non-relativistic fermions. The method is illustrated by the example of systems of several (2–9) fermions in a square well.

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Authors and Affiliations

  1. Department of Physics and Astronomy, Vrije Universiteit, De Boelelaan 1081, NL-1081 HV Amsterdam, The Netherlands, , , , , , NL

    B. L. G. Bakker

  2. Institute for Theoretical and Experimental Physics, B. Cheremushkinskaya 25, Moscow 117259, Russia, , , , , , RU

    M. I. Polikarpov & A. I. Veselov

Authors
  1. B. L. G. Bakker
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  2. M. I. Polikarpov
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  3. A. I. Veselov
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Additional information

Received July 9, 1997; revised March 17, 1998; accepted for publication March 19, 1998

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Bakker, B., Polikarpov, M. & Veselov, A. Pauli Potential and Green-Function Monte-Carlo Method for Many-Fermion Systems. Few-Body Systems 25, 101–113 (1998). https://doi.org/10.1007/s006010050097

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  • DOI: https://doi.org/10.1007/s006010050097

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