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

• Published in: arXiv.org
• Main Authors: Hofmann, H, Kiderlen, D
• Format: Paper
• Language: English
• Published: Ithaca Cornell University Library, arXiv.org 12.02.1997
• Subjects: Variation
• ISSN: 2331-8422
• DOI: 10.48550/arxiv.9702029

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.