dorsal/arxiv
View SchemaThe Semiclassical Regime of the Chaotic Quantum-Classical Transition
| Authors | Benjamin D. Greenbaum, Salman Habib, Kosuke Shizume, Bala Sundaram |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0401174 |
| URL | https://arxiv.org/abs/quant-ph/0401174 |
| DOI | 10.1063/1.1979227 |
Abstract
An analysis of the semiclassical regime of the quantum-classical transition is given for open, bounded, one dimensional chaotic dynamical systems. Environmental fluctuations -- characteristic of all realistic dynamical systems -- suppress the development of fine structure in classical phase space and damp nonlocal contributions to the semiclassical Wigner function which would otherwise invalidate the approximation. This dual regularization of the singular nature of the semiclassical limit is demonstrated by a numerical investigation of the chaotic Duffing oscillator.
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"abstract": "An analysis of the semiclassical regime of the quantum-classical transition\nis given for open, bounded, one dimensional chaotic dynamical systems.\nEnvironmental fluctuations -- characteristic of all realistic dynamical systems\n-- suppress the development of fine structure in classical phase space and damp\nnonlocal contributions to the semiclassical Wigner function which would\notherwise invalidate the approximation. This dual regularization of the\nsingular nature of the semiclassical limit is demonstrated by a numerical\ninvestigation of the chaotic Duffing oscillator.",
"arxiv_id": "quant-ph/0401174",
"authors": [
"Benjamin D. Greenbaum",
"Salman Habib",
"Kosuke Shizume",
"Bala Sundaram"
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"quant-ph"
],
"doi": "10.1063/1.1979227",
"title": "The Semiclassical Regime of the Chaotic Quantum-Classical Transition",
"url": "https://arxiv.org/abs/quant-ph/0401174"
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