  The main difficulty for path integral Monte Carlo studies of Fermi systems
results from the requirement of antisymmetrization of the density matrix and is
known in literature as the 'sign problem'. To overcome this issue the new
numerical version of the %{\large {\tiny {\Huge }}} Wigner approach to quantum
mechanics for treatment thermodynamic properties of degenerate systems of
fermions has been developed. The new path integral representation of quantum
Wigner function in the phase space has been obtained for canonical ensemble.
Explicit analytical expression of the Wigner function accounting for Fermi
statistical effects by effective pair pseudopotential has been proposed.
Derived pseudopotential depends on coordinates, momenta and degeneracy
parameter of fermions and takes into account Pauli blocking of fermions in
phase space. The new quantum Monte-Carlo method for calculations of average
values of arbitrary quantum operators has been proposed. To test the developed
approach calculations of the momentum distribution function of the degenerate
ideal system of Fermi particles has been carried out in a good agreement with
analytical Fermi distributions. Generalization of this approach for studies
influence of interparticle interaction on momentum distribution functions of
strongly coupled Fermi system is in progress.

Plasma Physics;Statistical Mechanics