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Acqui 2006 --- Chaos quantique. --- Matrices aleatoires

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Quantum chaos --- Chaos quantique --- Chaos (théorie des systèmes). --- Chaos. --- Chaos quantique. --- Chaos (théorie des systèmes) --- Philosophie de la nature. --- Chaotic behavior in systems. --- chaos. --- Théorie du chaos. --- Chaotic behavior in systems --- Philosophy of nature

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Quantum chaos --- Chaos (Théorie des systèmes) --- Chaos quantique --- Chaos (Théorie des systèmes) --- Chaos --- Chaotic behavior in systems --- Philosophy of nature

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The field of nonlinear dynamics and chaos has grown very much over the last few decades and is becoming more and more relevant in different disciplines. This book presents a clear and concise introduction to the field of nonlinear dynamics and chaos, suitable for graduate students in mathematics, physics, chemistry, engineering, and in natural sciences in general. It provides a thorough and modern introduction to the concepts of Hamiltonian dynamical systems' theory combining in a comprehensive way classical and quantum mechanical description. It covers a wide range of topics usually not found in similar books. Motivations of the respective subjects and a clear presentation eases the understanding. The book is based on lectures on classical and quantum chaos held by the author at Heidelberg University. It contains exercises and worked examples, which makes it ideal for an introductory course for students as well as for researchers starting to work in the field.

Differential geometry. Global analysis --- Ergodic theory. Information theory --- Mathematical physics --- Classical mechanics. Field theory --- Physics --- differentiaal geometrie --- wiskunde --- fysica --- mechanica --- dynamica --- informatietheorie --- Nonlinear theories. --- Chaos quantique. --- Théories non linéaires. --- Quantum chaos

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This textbook provides an excellent introduction to a new and rapidly developing field of research. The topics treated include a detailed exploration of the quantum aspects of nonlinear dynamics, quantum criteria to distinguish regular and irregular motion, antiunitary symmetries (generalized time reversal) and a thorough account of the quantum mechanics of dissipative systems. Each chapter is accompanied by a selection of problems which will help the student to test and deepen his/her understanding and to acquire an active command of the methods. The second edition is significantly expanded. Of the considerable theoretical progress lately achieved, the book focusses on the deeper statistical exploitation of level dynamics, improved control of semiclassical periodic-orbit expansions, and superanalytic techniques for dealing with various types of random matrices.

Quantum chaos. --- Chaos quantique --- Statistical physics. --- Dynamical systems. --- Quantum physics. --- Physics. --- Complex Systems. --- Quantum Physics. --- Mathematical Methods in Physics. --- Statistical Physics and Dynamical Systems. --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Quantum dynamics --- Quantum mechanics --- Quantum physics --- Physics --- Mechanics --- Thermodynamics --- Dynamical systems --- Kinetics --- Mathematics --- Mechanics, Analytic --- Force and energy --- Statics --- Mathematical statistics --- Statistical methods