The quantum density of states of the helium-3. Wigner approach in path integral Monte Carlo

A new path integral representation of the quantum density of states (DOS) and distribution functions of strongly correlated fermions are derived in the Wigner formulation of quantum mechanics. A new path integral Monte Carlo approach to calculate DOS and thermodynamic functions is suggested. Using helium-3 as an interesting example, we calculate the DOS, internal energy distrubution (IED), momentum distribution functions (MDFs), spin--resolved radial distribution functions at different densities and temperatures. The physical meaning and parameters of exchange-- correlation holes, the quantum oscillations of IEDs and DOS as well as the high--momentum asymptotic (``quantum tails'') of MDFs have been considered and explained

Quantum dynamics of strongly coupled particles in phase space

The new numerical approach for investigation of strongly coupled systems including a subsystem of quantum particles and a subsystem of classical particles has been developed. The advanced approach combines and generalizes molecular dynamics and path integral Monte Carlo methods and allows investigating the dynamic and thermodynamic properties of degenerate particle systems. Numerical results for energy, pressure, pair correlation functions and frequency dependencies of tensor of electron conductivity