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arXiv:1607.03648 · Annals of Physics

Stochastic TDHF in an exactly solvable model

Lionel Lacombe, E. Suraud, P.‐G. Reinhard, Phuong Mai Dinh

Published Jul 18, 2016• 13 citations
arXivHTMLPDF
DOI
10.1016/j.aop.2016.07.008

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By applying the 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. Our theory dynamically defines 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 also classifies the submanifold into three different regions in terms of stablility and separability conditions. It is displayed that these three regions characterize collective, dissipative and stochastic motions in the TDHF theory.