Titlebook: Quantum Chaos — Quantum Measurement; P. Cvitanović,I. Percival,A. Wirzba Book 1992 Springer Science+Business Media Dordrecht 1992 quantum

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Continuously Measured Chaotic Quantum Systemsn in time with a certain limited accuracy and time resolution. In particular, we study in how far dynamical localization, a coherence effect responsible for the suppression of chaotic dynamics in certain quantum systems, remains effective if the system is continuously observed. First we explain the

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saturated-fat

Dynamical Chaos and Many-Body Quantum Systemsa 74-year-old problem raised in 1917 by Einstein who criticized the Bohr-Sommerfeld quantization as being inapplicable to non-integrable classical systems [9]. The new methods appear complementary to the EBK quantization rules of completely integrable systems.

Hamper

HAIL

Scaling Properties of Localized Quantum Chaosse to uncorrected one. Unlike, for classically completely chaotic systems the fluctuations in energy spectra are of the specific form and may be compared to that ones of eigenvalues of random matrices.

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Definitive

Regular Orbits for the Stadium Billiarde periodic orbits which constitute the island chains. In completely chaotic systems the invariant tori are destroyed, but are replaced by invariant cantor sets, called canton. The island chains become resonance zones, which are still delineated by the stable and unstable manifolds of the hyperbolic periodic orbits.

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遭遇

Audiometry

Relativistic Quantum Chaos in de Sitter Cosmologiesgy of wave fields coupled to the curvature scalar of the 4-manifold in the early and late stages of the cosmic expansion, and its dependence on the spectral variable of the Laplace-Beltrami operator on the space sections. This spectrum is in turn entirely determined by the topological and metrical structure of the sections.