A self-consistent treatment of the dynamics of stable and unstable collective modes

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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 D_{μν}. The latter are obtained through a fluctuation dissipation theorem generalized to allow for a treatment of unstable modes. Numerical evaluations of the D_{μν} are presented. We discuss briefly how this picture may be used to describe global motion within a locally harmonic approximation.
26 pages, Latex, 7 Postscript figures; submitted to PRE; e-mail: hhofmann@physik.tu-muenchen.de www home page: http://www.physik.tu-muenchen.de/tumphy/e/T36/hofmann.html

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