Collective, Dissipative and Stochastic Motions in the TDHF Theory

摘要

By applying the systematic microscopic theory of dynamical collective submanifold, which has been formulated by the present authors, to a system with a simple model Hamiltonian, characteristic features of large-amplitude motion described by the time dependent Hartree-Fock (TDHF) theory are visualized. The theory can dynamically define an optimum submanifold out of the TDHF symplectic manifold (phase space) in such a way that the Hamiltonian on the submanifold is stationary with respect to variations perpendicular to it. The theory can also classify the submanifold into three different regions by means of both stability and separability conditions. It is displayed that these three regions classified by the two conditions can characterize collective, dissipative, and stochastic motions in the TDHF theory. (ERA citation 12:040087)