dorsal/arxiv
View SchemaQuantum Behavior of Deterministic Systems with Information Loss. Path Integral Approach
| Authors | M. Blasone, P. Jizba, H. Kleinert |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0504200 |
| URL | https://arxiv.org/abs/quant-ph/0504200 |
| DOI | 10.1016/j.aop.2005.09.001 |
| Journal | Annals Phys. 320 (2005) 468-486 |
Abstract
't Hooft's derivation of quantum from classical physics is analyzed by means of the classical path integral of Gozzi et al.. It is shown how the key element of this procedure - the loss of information constraint - can be implemented by means of Faddeev-Jackiw's treatment of constrained systems. It is argued that the emergent quantum systems are identical with systems obtained in [Phys.Rev. A 71 (2005) 052507] through Dirac-Bergmann's analysis. We illustrate our approach with two simple examples - free particle and linear harmonic oscillator. Potential Liouville anomalies are shown to be absent.
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"abstract": "\u0027t Hooft\u0027s derivation of quantum from classical physics is analyzed by means\nof the classical path integral of Gozzi et al.. It is shown how the key element\nof this procedure - the loss of information constraint - can be implemented by\nmeans of Faddeev-Jackiw\u0027s treatment of constrained systems. It is argued that\nthe emergent quantum systems are identical with systems obtained in [Phys.Rev.\nA 71 (2005) 052507] through Dirac-Bergmann\u0027s analysis. We illustrate our\napproach with two simple examples - free particle and linear harmonic\noscillator. Potential Liouville anomalies are shown to be absent.",
"arxiv_id": "quant-ph/0504200",
"authors": [
"M. Blasone",
"P. Jizba",
"H. Kleinert"
],
"categories": [
"quant-ph",
"hep-th",
"math-ph",
"math.MP"
],
"doi": "10.1016/j.aop.2005.09.001",
"journal_ref": "Annals Phys. 320 (2005) 468-486",
"title": "Quantum Behavior of Deterministic Systems with Information Loss. Path Integral Approach",
"url": "https://arxiv.org/abs/quant-ph/0504200"
},
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