Local Equilibrium Approach for Fermi Systems and Quantum Hydrodynamics

摘要

The quantum distribution function is derived to reach an accordance with quantum hydrodynamics and to conserve quantum properties of the system.This distribution function,when calculating statistical averages,leads to correct local values of the fundamental physical quantities;and the local conservation laws of the microscopic quantum hydrodynamics can be obtained from such statistics by passing to mathematical expectatives.The equation for the one-particle distribution function generates the many-particle distribution functions.Then,the BBGKY hierarchy equations are obtained.The one-particle statistical operator of a system of fermions in the local equilibrium at arbitrary temperatures is calculated.The dynamics of local hydrodynamic functions (chemical potential,hydrodynamic velocity,and temperature) completely determine the dynamics of the one-particle statistical operator.The quantum hydrodynamic equations for the proton-neutron system at low temperatures are obtained from the equation for one-particle distribution function.