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arXiv:quant-ph/9511009·v1·Quantum Physics

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

B.L.G. Bakker🇳🇱 · M.I. Polikarpov🇷🇺 · A.I. Veselov🇷🇺

Abstract

The time evolution of a many-fermion system can be described by a Green's function corresponding to an effective potential, which 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.

Comments: 12 pages, LaTeX, 4 figures

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