dorsal/arxiv
View SchemaStructure function of a damped harmonic oscillator
| Authors | R. Rosenfelder |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0303003 |
| URL | https://arxiv.org/abs/nucl-th/0303003 |
| DOI | 10.1103/PhysRevC.68.034602 |
| Journal | Phys.Rev. C68 (2003) 034602 |
Abstract
Following the Caldeira-Leggett approach to describe dissipative quantum systems the structure function for a harmonic oscillator with Ohmic dissipation is evaluated by an analytic continuation from euclidean to real time. The analytic properties of the Fourier transform of the structure function with respect to the energy transfer (the ``characteristic function'') are studied and utilized. In the one-parameter model of Ohmic dissipation we show explicitly that the broadening of excited states increases with the state number without violating sum rules. Analytic and numerical results suggest that this is a phenomenologically relevant, consistent model to include the coupling of a single (sub-)nuclear particle to unobserved and complex degrees of freedom.
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"abstract": "Following the Caldeira-Leggett approach to describe dissipative quantum\nsystems the structure function for a harmonic oscillator with Ohmic dissipation\nis evaluated by an analytic continuation from euclidean to real time. The\nanalytic properties of the Fourier transform of the structure function with\nrespect to the energy transfer (the ``characteristic function\u0027\u0027) are studied\nand utilized. In the one-parameter model of Ohmic dissipation we show\nexplicitly that the broadening of excited states increases with the state\nnumber without violating sum rules. Analytic and numerical results suggest that\nthis is a phenomenologically relevant, consistent model to include the coupling\nof a single (sub-)nuclear particle to unobserved and complex degrees of\nfreedom.",
"arxiv_id": "nucl-th/0303003",
"authors": [
"R. Rosenfelder"
],
"categories": [
"nucl-th",
"hep-ph",
"quant-ph"
],
"doi": "10.1103/PhysRevC.68.034602",
"journal_ref": "Phys.Rev. C68 (2003) 034602",
"title": "Structure function of a damped harmonic oscillator",
"url": "https://arxiv.org/abs/nucl-th/0303003"
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