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.
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