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Quantum Chaos : Between Order and Disorder - Giulio Casati

Quantum Chaos

Between Order and Disorder

By: Giulio Casati (Editor), Boris Chirikov (Editor)

Hardcover Published: 26th May 1995
ISBN: 9780521432917
Number Of Pages: 700

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Quantum Chaos provides a comprehensive overview of our present understanding of chaotic behaviour in a wide variety of quantum and semiclassical systems, and describes both experimental and theoretical investigations. A general introduction sets out the main features of chaos in quantum systems. Thereafter, in an authoritative collection of new, or previously published papers, prominent scientists put forward their particular interpretations of quantum chaos, with reference to a broad range of interesting physical systems. As yet, there is no universally accepted definition of quantum chaos. However, by dealing with such a wide range of topics from different branches of physics, this book provides a unique overview of this rapidly expanding field, and will be of great interest to graduate students and researchers in many areas of physics and chemistry.

"...a valuable reference for two purposes: On the one hand, it records important developments in the field of quantum chaos by reprinting influential papers. On the other hand, in the more review-like articles, it provides explanations of ideas and techniques that are often used in quantum chaos. Thus both active researchers and newcomers to the field will profit from reading this volume." Jens Bolte, Mathematical Reviews

Preface
Acknowledgments
Introduction
The legacy of chaos in quantum mechanics
Classical Chaos and Quantum Localization
Stochastic behaviour of a quantum pendulum under a periodic perturbation
Quantum dynamics of a nonintegrable system
Excitation of molecular rotation by periodic microwave pulses. A testing ground for Anderson localization
Localization of diffusive excitation in multi-level systems
Classical and quantum chaos for a kicked top
Self-similarity in quantum dynamics
Time irreversibility of classically chaotic quantum dynamics
Effect of noise on time-dependent quantum chaos
Dynamical localization, dissipation and noise
Maximum entropy models and quantum transmission in disordered systems
Solid state 'atoms' in intense oscillating fields
Atoms in Strong Fields
Localization of classically chaotic diffusion for hydrogen atoms in microwave fields
Inhibition of quantum transport due to 'scars' of unstable periodic orbits
Rubidium Rydberg atoms in strong fields
Diamagnetic Rydberg atom: confrontation of calculated and observed spectra
Semiclassical approximation for the quantum states of a hydrogen atom in a magnetic field near the ionization limit
The semiclassical helium atom
Stretched helium: a model for quantum chaos in two-electron atoms
Semiclassical Approximations
Semiclassical theory of spectral rigidity
Semiclassical structure of trace formulas
H-Expansion for quantum trace formulas
Pinball scattering
Logarithm breaking time in quantum chaos
Semiclassical propagation: how long can it last?
The quantized Baker's transformation
Classical structures in the quantized baker transformation
Quantum nodal points as fingerprints of classical chaos
Chaology of action billiards
Level Statistics and Random Matrix Theory
Characterization of chaotic quantum spectra and universality of level fluctuation laws
Quantum chaos, localization and band random matrices
Structural invariance in channel space: a step toward understanding chaotic scattering in quantum mechanics
Spectral properties of a Fermi accelerating disk
Spectral properties of systems with dynamical localization
Unbound quantum diffusion and fractal spectra
Microwave studies in irregularly shaped billiards
Index
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521432917
ISBN-10: 052143291X
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 700
Published: 26th May 1995
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 24.6 x 18.9  x 3.8
Weight (kg): 1.42