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

Physics – Nuclear Physics – Nuclear Theory

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31 pages, Latex, 7 Postscript figures; submitted to JMPE e-mail: hhofmann@physik.tu-muenchen.de www home page: http://www.ph

Scientific paper

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_{\mu\nu}. The latter are obtained through a fluctuation dissipation theorem generalized to allow for a treatment of unstable modes. Numerical evaluations of the D_{\mu\nu} 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".

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