dorsal/arxiv
View SchemaQuantum-Classical Correspondence of Dynamical Observables, Quantization and the Time of Arrival Correspondence Problem
| Authors | Eric A. Galapon |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0009029 |
| URL | https://arxiv.org/abs/quant-ph/0009029 |
| DOI | 10.1134/1.1405219 |
| Journal | Opt. and Specs. 91, (2001) 399 |
Abstract
We raise the problem of constructing quantum observables that have classical counterparts without quantization. Specifically we seek to define and motivate a solution to the quantum-classical correspondence problem independent from quantization and discuss the general insufficiency of prescriptive quantization, particularly the Weyl quantization. We demonstrate our points by constructing time of arrival operators without quantization and from these recover their classical counterparts.
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"abstract": "We raise the problem of constructing quantum observables that have classical\ncounterparts without quantization. Specifically we seek to define and motivate\na solution to the quantum-classical correspondence problem independent from\nquantization and discuss the general insufficiency of prescriptive\nquantization, particularly the Weyl quantization. We demonstrate our points by\nconstructing time of arrival operators without quantization and from these\nrecover their classical counterparts.",
"arxiv_id": "quant-ph/0009029",
"authors": [
"Eric A. Galapon"
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"doi": "10.1134/1.1405219",
"journal_ref": "Opt. and Specs. 91, (2001) 399",
"title": "Quantum-Classical Correspondence of Dynamical Observables, Quantization and the Time of Arrival Correspondence Problem",
"url": "https://arxiv.org/abs/quant-ph/0009029"
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