dorsal/arxiv
View SchemaDynamical peculiarities of the nonlinear quasiclassical systems
| Authors | B. Kaulakys |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9610041 |
| URL | https://arxiv.org/abs/quant-ph/9610041 |
Abstract
The quantum-classical correspondence for dynamics of the nonlinear classically chaotic systems is analysed. The problem of quantum chaos consists of two parts: the quasiclassical quantisation of the chaotic systems and attempts to understand the classical chaos in terms of quantum mechanics. The first question has been partially solved by the Gutzwiller semiclassical trace formula for the eigenvalues of chaotic systems, while the classical chaos may be derived from quantum equations only introducing the decoherence process due to interaction with system's environment or intermediate frequent measurement. We may conclude that continuously observable quasiclassical system evolves essentially classically-like.
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"date_modified": "2026-03-02T18:02:37.832000Z",
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"abstract": "The quantum-classical correspondence for dynamics of the nonlinear\nclassically chaotic systems is analysed. The problem of quantum chaos consists\nof two parts: the quasiclassical quantisation of the chaotic systems and\nattempts to understand the classical chaos in terms of quantum mechanics. The\nfirst question has been partially solved by the Gutzwiller semiclassical trace\nformula for the eigenvalues of chaotic systems, while the classical chaos may\nbe derived from quantum equations only introducing the decoherence process due\nto interaction with system\u0027s environment or intermediate frequent measurement.\nWe may conclude that continuously observable quasiclassical system evolves\nessentially classically-like.",
"arxiv_id": "quant-ph/9610041",
"authors": [
"B. Kaulakys"
],
"categories": [
"quant-ph",
"chao-dyn",
"nlin.CD"
],
"title": "Dynamical peculiarities of the nonlinear quasiclassical systems",
"url": "https://arxiv.org/abs/quant-ph/9610041"
},
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