标题： 非线性准经典系统的动力学特性 显示英文标题

标题： Dynamical peculiarities of the nonlinear quasiclassical systems

摘要： 分析了非线性经典混沌系统动力学的量子-经典对应关系。量子混沌问题包括两部分：混沌系统的准经典量子化以及试图用量子力学来理解经典混沌。对于第一个问题，Gutzwiller 的半经典迹公式部分解决了混沌系统的本征值问题，而经典混沌只能通过引入由于与系统环境相互作用或者由于频繁测量引起的退相干过程才能从量子方程中推导出来。我们可以得出结论，连续可观测的准经典系统本质上以类似经典的方式演化。 显示英文摘要

摘要： 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.