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24 April 2024 |
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Article overview
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Quantum Behavior of Deterministic Systems with Information Loss. Path Integral Approach | | M. Blasone
; P. Jizba
; H. Kleinert
; | | Date: |
26 Apr 2005 | | Subject: | Quantum Physics; High Energy Physics - Theory; Mathematical Physics DOI: 10.1016/j.aop.2005.09.001 | quant-ph hep-th math-ph math.MP | | 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. | | Source: | arXiv, quant-ph/0504200 | | Services: | Forum | Review | PDF | Favorites | |
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