dorsal/arxiv
View SchemaSymmetric Hybrid Dynamics: A canonical formulation of coupled classical-quantum dynamics
| Authors | Nuno Costa Dias, Joao Nuno Prata |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0005019 |
| URL | https://arxiv.org/abs/quant-ph/0005019 |
Abstract
A canonical formulation of coupled classical-quantum dynamics is presented. The theory is named symmetric hybrid dynamics. It is proved that under some general conditions its predictions are consistent with the full quantum ones. Moreover symmetric hybrid dynamics displays a fully consistent canonical structure. Namely, it is formulated over a Lie algebra of observables, time evolution is unitary and the solution of a hybrid type Schr\"odinger equation. A quantization prescription from classical mechanics to hybrid dynamics is presented. The quantization map is a Lie algebra isomorphism. Finally some possible applications of the theory are succinctly suggested.
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"abstract": "A canonical formulation of coupled classical-quantum dynamics is presented.\nThe theory is named symmetric hybrid dynamics. It is proved that under some\ngeneral conditions its predictions are consistent with the full quantum ones.\nMoreover symmetric hybrid dynamics displays a fully consistent canonical\nstructure. Namely, it is formulated over a Lie algebra of observables, time\nevolution is unitary and the solution of a hybrid type Schr\\\"odinger equation.\nA quantization prescription from classical mechanics to hybrid dynamics is\npresented. The quantization map is a Lie algebra isomorphism. Finally some\npossible applications of the theory are succinctly suggested.",
"arxiv_id": "quant-ph/0005019",
"authors": [
"Nuno Costa Dias",
"Joao Nuno Prata"
],
"categories": [
"quant-ph"
],
"title": "Symmetric Hybrid Dynamics: A canonical formulation of coupled classical-quantum dynamics",
"url": "https://arxiv.org/abs/quant-ph/0005019"
},
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