Pauli potential and green-function Monte-Carlo method for many-Fermion systems

The time evolution of a many-fermion system can be described by a Green's f unction corresponding to an effective potential that takes antisymmetrizati on of the wave function into account, called the Pauli potential. We show t hat this idea can be combined with the Green's-function Monte-Carlo method to accurately simulate a system of many non-relativistic fermions. The meth od is illustrated by the example of systems of several (2-9) fermions in a square well.