Comment on "Dynamics of nuclear fluid. VIII. Time-dependent Hartree-Fock approximation from a classical point of view"

TL;DR

This paper discusses the use of phase-space paths for calculating the evolution of the Wigner function, emphasizing their first-order approximation and application in phase-space Green function determination.

Contribution

It clarifies the limitations of phase-space path methods for Wigner function evolution and their role in phase-space Green function calculations.

Findings

First-order phase-space path solutions are useful for Wigner function evolution.

The method aids in deriving phase-space Green functions.

Limitations of the first-order approximation are highlighted.

Abstract

The phase-space paths introduced by Cheuk-Yin Wong in Phys. Rev.C25, 1460 (1982) and discussed recently in the literature can be used for calculation of evolution of the Wigner function to first order in the time increments only. The first-order solutions are helpful to determine the phase-space Green function in the framework of the phase-space path integral method.