Pauli blocking by effective pair pseudopotential in degenerate Fermi systems of particles

An explicit analytical expression of the Wigner function has been proposed to account for Fermi statistical effects using an effective pair pseudopotential in phase space. The derived pseudopotential depends on coordinates, momenta, and the degeneracy parameter of fermions and takes into account Pauli blocking of fermions in phase space. A new quantum Monte Carlo method (WPIMC) is put forward to calculate average values of arbitrary quantum operators in phase space. When calculated using the WPIMC method, the momentum distributions and pair distribution functions for degenerate ideal fermions are in good agreement with the analytical distribution over a wide range of values of the degeneracy parameter. Generalization of this approach for treating strongly correlated fermions is in progress.