Quantum Behavior of Deterministic Systems with Information Loss. Path Integral Approach

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dc.creatorBlasone, M.
dc.creatorJizba, P.
dc.creatorKleinert, H.
dc.date2005-04-26
dc.date2005-09-30
dc.date.accessioned2026-07-07T06:23:21Z
dc.date.available2026-07-07T06:23:21Z
dc.description'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.
dc.description11 pages, RevTeX, revised version with minor changes, accepted to Annals of Physics
dc.identifierhttps://arxiv.org/abs/quant-ph/0504200
dc.identifierhttp://arxiv.org/abs/quant-ph/0504200
dc.identifierAnnals Phys. 320 (2005) 468-486
dc.identifierdoi:10.1016/j.aop.2005.09.001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/96199
dc.subjectQuantum Physics
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleQuantum Behavior of Deterministic Systems with Information Loss. Path Integral Approach
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