dorsal/arxiv
View SchemaGeometric Dequantization
| Authors | A. A. Abrikosov Jr, E. Gozzi, D. Mauro |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0406028 |
| URL | https://arxiv.org/abs/quant-ph/0406028 |
| DOI | 10.1016/j.aop.2004.12.001 |
| Journal | Annals Phys. 317 (2005) 24-71 |
Abstract
Dequantization is a set of rules which turn quantum mechanics (QM) into classical mechanics (CM). It is not the WKB limit of QM. In this paper we show that, by extending time to a 3-dimensional "supertime", we can dequantize the system in the sense of turning the Feynman path integral version of QM into the functional counterpart of the Koopman-von Neumann operatorial approach to CM. Somehow this procedure is the inverse of geometric quantization and we present it in three different polarizations: the Schroedinger, the momentum and the coherent states ones.
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"abstract": "Dequantization is a set of rules which turn quantum mechanics (QM) into\nclassical mechanics (CM). It is not the WKB limit of QM. In this paper we show\nthat, by extending time to a 3-dimensional \"supertime\", we can dequantize the\nsystem in the sense of turning the Feynman path integral version of QM into the\nfunctional counterpart of the Koopman-von Neumann operatorial approach to CM.\nSomehow this procedure is the inverse of geometric quantization and we present\nit in three different polarizations: the Schroedinger, the momentum and the\ncoherent states ones.",
"arxiv_id": "quant-ph/0406028",
"authors": [
"A. A. Abrikosov Jr",
"E. Gozzi",
"D. Mauro"
],
"categories": [
"quant-ph",
"hep-th"
],
"doi": "10.1016/j.aop.2004.12.001",
"journal_ref": "Annals Phys. 317 (2005) 24-71",
"title": "Geometric Dequantization",
"url": "https://arxiv.org/abs/quant-ph/0406028"
},
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