… a tentative unified framework for quantum chaos, based on the quantum ergodic hierarchy. …
aspects of quantum chaos, by means of the quantum factorization property of quantum mixing …

… to quantum chaos from the stationary point of view, where we shall describe the purely
regular eigenstates versus purely chaotic … in the chaotic region, and iterated it up to about 10 …

… At about the time of Poincare's semi nal work on classical chaos, Max Planck … (chaotic
systems) and Q (quantum sys tems). In establishing this relation, it is useful to introduce a concept …

… This procedure is what we mean when we talk about semi-classical quantization, and for …
DORON was dedicated to the connection between quantum chaotic scattering and random …

… Simple exponential sensitivity is precisely the point at which, in order to maintain constant
calculational accuracy, we must input about as much information as we get out of our …

… These socalled level dynamics provide useful information about a quantum-mechanical
system’s underlying chaotic structure. One studies the eigenenergies En of a Hermitian …

Are there quantum signatures, for instance in the spectral properties, of the underlying regular
or chaotic nature of the corresponding classical motion? Are there universality classes? …

… chaos in quantum mechanics could be. Despite this, the number of conferences and proceedings
devoted to the topic of quantum chaos … proposal about how to define quantum chaos. I …

… This classical-quantum inconsistency is traced back to the … quantum’and ‘chaos’. Below we
shall sketch minimum key concepts required to approach the frontier of quantum chaos [4-61. …

… and antidots, there are other essential themes of quantum chaos that are suppressed in this
book. We must ask for readers' understanding about this omission. Nevertheless, the way of …