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

BLAZE

Localization and Delocalization of Quantum Chaosexample is the quantum standard map [1]. In this model quantum effects lead to localization of classical chaos that is a dynamical version of Anderson localization [2]. Intensive investigations of the model allowed to establish the connection between the localization length . and the classical diffu

惊奇

Scaling Properties of Localized Quantum Chaosquantum systems which are chaotic in the classical limit. Since properties of quantum systems turned out to be different from classical ones even in a deep semiclassical region (see [4–5]), one of the important problems of quantum chaos is to find proper quantities to describe the degree of chaos in

大范围流行

Dynamical Localization Mathematical Frameworkuppression of classical diffusion by quantum interferences. This is now called “dynamical localization”. This analogy was described in the famous paper by Fishman, Grempel and Prange [1] interpreting the eigenvalues equation for the quasienergy in the kicked rotor (KR) problem in terms of a one dime

BALK

Keeping Track of Chaos by Quantum-Nondemolition Measurementstified clearly and their presence in quantum mechanics is to be shown. On the other hand, the possibility of actually observing deterministic randomness in quantum mechanics is to be pointed out. To this end quantum-nondemolition measurements are used. The intention of the present work is to give a

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Regular Orbits for the Stadium Billiards which one might call the regular orbits. In the nearly integrable case the regular orbits are the invariant tori predicted by the KAM theorem and the periodic orbits which constitute the island chains. In completely chaotic systems the invariant tori are destroyed, but are replaced by invariant ca

Debility

Banded Random Matrix Ensemblesamics. It was found that, although the corresponding Hamiltonian functions can be very different from each other, such systems have a variety of common features, e.g. local instability, decay of correlations.

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Chaotic behaviour of open quantum mechanical systemshas Poissonian spectral fluctuations. In the region of strong coupling between bound and scattering states where most of the resonances have small widths again, we find that the poles show GOE-like level statistics, typical of chaotic systems.

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Relativistic Quantum Chaos in de Sitter Cosmologiesices creates on the one hand chaotic trajectories, on the other hand bound states whose wave fields and energies are intimately connected with the Hausdorff dimension and measure of limit sets of chaotic trajectories in the covering space of the manifold. We discuss the time evolution of of the ener

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Quantum Recordst between the classical and quantum domains or a system and its environment, where the quantum record of an individual system is explictly represented and where measurement is an irreversible dynamical process which occurs when a system interacts with its environment.

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Macroscopic Quantum Objects and their Interaction with External Environments mechanics we have to look back to the origins of the subject. Quantum mechanics today stands pre-eminent in Physics, being as important in calculating the subtleties of chemical bonding at roughly 10.cm as describing the behaviour of quarks and gluons at 10.cms. However, the unifying factor is alwa