In the present paper a method of finding dynamics Wigner function particle in an infinite quantum well is developed. Starting with problem reflection from impenetrable wall, obtained solution then generalized to case confined arbitrary dimensions. It known, that boundary value problems phase space formulation mechanics are surprisingly tricky. The complications arise nonlocality expression invo...

We study the contribution to vacuum decay in field theory due to the interaction between the longand short-wavelength modes of the field. The field model considered consists of a scalar field of mass M with a cubic term in the potential. The dynamics of the long-wavelength modes becomes diffusive in this interaction. The diffusive behavior is described by the reduced Wigner function that charac...

Based on the Wigner function in local equilibrium, we derive hydrodynamical quantities for a system of polarized spin-1/2 particles: particle number current density, energy-momentum tensor, spin and dipole moment tensor. Comparing with ideal hydrodynamics without spin, additional terms at first second order Knudsen $\text{Kn}$ average polarization $\chi_s$ have been derived. The can be expresse...