A self-consistent treatment of damped motion for stable and unstable collective modes

H. Hofmann, D. Kiderlen

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Abstract

We address the dynamics of damped collective modes in terms of first and second moments. The modes are introduced in a self-consistent fashion with the help of a suitable application of linear response theory. Quantum effects in the fluctuations are governed by diffusion coefficients Dμν. The latter are obtained through a fluctuation dissipation theorem generalized to allow for a treatment of unstable modes. Numerical evaluations of the Dμν are presented. We discuss briefly how this picture may be used to describe global motion within a locally harmonic approximation. Relations to other methods are discussed, like "dissipative tunneling", RPA at finite temperature and generalizations of the "Static Path Approximation".

Original languageEnglish
Pages (from-to)243-274
Number of pages32
JournalInternational Journal of Modern Physics E
Volume7
Issue number2
DOIs
StatePublished - 1998

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