1996/10/28 by B. Kaulakys, Kaulakys, B.
Physics and Astronomy · #Chaos control and synchronization #Chaotic Dynamics (nlin.CD) #FOS: Physical sciences #Quantum Physics (quant-ph) #Quantum chaos and dynamical systems #Scientific Research and Discoveries #chao-dyn #nlin.CD #quant-ph
paper · pdf · doi:10.48550/arxiv.quant-ph/9610041
4 pages, LaTeX
arxiv created 1996/10/28 · openalex publication_date 1996/10/28 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.