Microscopic and Macroscopic Aspects of Nuclear Dynamics in Mean-Field Approximation. (I. Formalism)

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Abstract
A macroscopic approach to the quantum self-consistent Boltzmann equation is suggested. With the crucial introduction of a quasi-equilibrium assumption about the underlying nuclear distribution function, the usual time-dependent Hartree-Fock equation can be reduced to those of hydrodynamics for local density, current and internal energy density fields. Solutions to these macroscopic equations produce the smooth quasi-equilibrium distribution function and allow one to extract the irregular contribution to the exact quantal Wigner function. The effects of viscosity which arise from two-body collisions are examined in this context. Formulated in a slab geometry, this problem has been solved by a straightforward comparison between the exact quantal and the quasi-equilibrium distribution.