dorsal/arxiv
View SchemaA self-consistent treatment of damped motion for stable and unstable collective modes
| Authors | H. Hofmann, D. Kiderlen |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9703056 |
| URL | https://arxiv.org/abs/nucl-th/9703056 |
| DOI | 10.1142/S0218301398000105 |
| Journal | Nucl.Instrum.Meth. A411 (1998) 243-274 |
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 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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"abstract": "We address the dynamics of damped collective modes in terms of first and\nsecond moments. The modes are introduced in a self-consistent fashion with the\nhelp of a suitable application of linear response theory. Quantum effects in\nthe fluctuations are governed by diffusion coefficients D_{\\mu\\nu}. The latter\nare obtained through a fluctuation dissipation theorem generalized to allow for\na treatment of unstable modes. Numerical evaluations of the D_{\\mu\\nu} are\npresented. We discuss briefly how this picture may be used to describe global\nmotion within a locally harmonic approximation. Relations to other methods are\ndiscussed, like \"dissipative tunneling\", RPA at finite temperature and\ngeneralizations of the \"Static Path Approximation\".",
"arxiv_id": "nucl-th/9703056",
"authors": [
"H. Hofmann",
"D. Kiderlen"
],
"categories": [
"nucl-th"
],
"doi": "10.1142/S0218301398000105",
"journal_ref": "Nucl.Instrum.Meth. A411 (1998) 243-274",
"title": "A self-consistent treatment of damped motion for stable and unstable collective modes",
"url": "https://arxiv.org/abs/nucl-th/9703056"
},
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