dorsal/arxiv
View SchemaImpediments to mixing classical and quantum dynamics
| Authors | J. Caro, L. L. Salcedo |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9812046 |
| URL | https://arxiv.org/abs/quant-ph/9812046 |
| DOI | 10.1103/PhysRevA.60.842 |
| Journal | Phys.Rev. A60 (1999) 842-852 |
Abstract
The dynamics of systems composed of a classical sector plus a quantum sector is studied. We show that, even in the simplest cases, (i) the existence of a consistent canonical description for such mixed systems is incompatible with very basic requirements related to the time evolution of the two sectors when they are decoupled. (ii) The classical sector cannot inherit quantum fluctuations from the quantum sector. And, (iii) a coupling among the two sectors is incompatible with the requirement of physical positivity of the theory, i.e., there would be positive observables with a non positive expectation value.
{
"annotation_id": "171de08f-791a-445d-807a-6ece35660c82",
"date_created": "2026-03-02T18:02:44.190000Z",
"date_modified": "2026-03-02T18:02:44.190000Z",
"file_hash": "4f8cd2330fd675d9e95ef8d5ac81672e5d107614cd7451206137289017414916",
"private": false,
"record": {
"abstract": "The dynamics of systems composed of a classical sector plus a quantum sector\nis studied. We show that, even in the simplest cases, (i) the existence of a\nconsistent canonical description for such mixed systems is incompatible with\nvery basic requirements related to the time evolution of the two sectors when\nthey are decoupled. (ii) The classical sector cannot inherit quantum\nfluctuations from the quantum sector. And, (iii) a coupling among the two\nsectors is incompatible with the requirement of physical positivity of the\ntheory, i.e., there would be positive observables with a non positive\nexpectation value.",
"arxiv_id": "quant-ph/9812046",
"authors": [
"J. Caro",
"L. L. Salcedo"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.60.842",
"journal_ref": "Phys.Rev. A60 (1999) 842-852",
"title": "Impediments to mixing classical and quantum dynamics",
"url": "https://arxiv.org/abs/quant-ph/9812046"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "4b0aa057-f1df-4a84-a8f1-d68ce7241efb",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}