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Quantum Chaos Year 2000


Quantum Chaos Year 2000
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Chaos In Classical And Quantum Mechanics


Chaos In Classical And Quantum Mechanics
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Author : Martin C. Gutzwiller
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-27

Chaos In Classical And Quantum Mechanics written by Martin C. Gutzwiller and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-27 with Mathematics categories.


Describes the chaos apparent in simple mechanical systems with the goal of elucidating the connections between classical and quantum mechanics. It develops the relevant ideas of the last two decades via geometric intuition rather than algebraic manipulation. The historical and cultural background against which these scientific developments have occurred is depicted, and realistic examples are discussed in detail. This book enables entry-level graduate students to tackle fresh problems in this rich field.



Quantum Chaos And Quantum Dots


Quantum Chaos And Quantum Dots
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Author : Katsuhiro Nakamura
language : en
Publisher:
Release Date : 2004

Quantum Chaos And Quantum Dots written by Katsuhiro Nakamura and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Science categories.


Dynamics of billiard balls and their role in physics have received wide attention. Billiards can nowadays be created as quantum dots in the microscopic world enabling one to envisage the so-called quantum chaos, (i.e.: quantum manifestation of chaos of billiard balls). In fact, owing to recent progress in advanced technology, nanoscale quantum dots, such as chaotic stadium and antidot lattices analogous to the Sinai Billiard, can be fabricated at the interface of semiconductor heterojunctions. This book begins ite exploration of the effect of chaotic electron dynamics on ballistic quantum transport in quantum dots with a puzzling experiment on resistance fluctuations for stadium and circle dots. Throughout the text, major attention is paid to the semiclassical theory which makes it possible to interpret quantum phenomena in the language of the classical world. Chapters one to four are concerned with the elementary statistical methods (curvature, Lyapunov exponent, Kolmogorov-Sinai entropy and escape rate), which are needed for a semiclassical description of transport in quantum dots. Chapters five to ten discuss the topical subjects in the field, including the ballistic weak localization, Altshuler-Aronov-Spivak oscillation, partial time-reversal symmetry, persistent current, Arnold diffusion and Coulomb blockade.



Chaos In Atomic Physics


Chaos In Atomic Physics
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Author : R. Blümel
language : en
Publisher: Cambridge University Press
Release Date : 1997-07-24

Chaos In Atomic Physics written by R. Blümel and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-07-24 with Science categories.


This book provides a coherent introduction to the manifestations of chaos in atoms and molecules.



Analysis On Graphs And Its Applications


Analysis On Graphs And Its Applications
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Author : Pavel Exner
language : en
Publisher: American Mathematical Soc.
Release Date : 2008

Analysis On Graphs And Its Applications written by Pavel Exner and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.


This book addresses a new interdisciplinary area emerging on the border between various areas of mathematics, physics, chemistry, nanotechnology, and computer science. The focus here is on problems and techniques related to graphs, quantum graphs, and fractals that parallel those from differential equations, differential geometry, or geometric analysis. Also included are such diverse topics as number theory, geometric group theory, waveguide theory, quantum chaos, quantum wiresystems, carbon nano-structures, metal-insulator transition, computer vision, and communication networks.This volume contains a unique collection of expert reviews on the main directions in analysis on graphs (e.g., on discrete geometric analysis, zeta-functions on graphs, recently emerging connections between the geometric group theory and fractals, quantum graphs, quantum chaos on graphs, modeling waveguide systems and modeling quantum graph systems with waveguides, control theory on graphs), as well as research articles.



Atom Optics And Space Physics


Atom Optics And Space Physics
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Author : Wolfgang Schleich
language : en
Publisher: IOS Press
Release Date : 2009-07-03

Atom Optics And Space Physics written by Wolfgang Schleich and has been published by IOS Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-07-03 with Science categories.


The goal of this volume is to discuss the rapidly moving field of atom optics and interferometry with all its intricate aspects ranging from fundamental physics to applications and the theory of relativity. The breathtaking success in manipulating atoms using lasers has encouraged these two so far disjunct communities to move closer together and begin collaborations. After an introduction to atom optics and Bose-Einstein condensation, the theoretical foundations of cold atom interferometers, their use to test gravity, and their implementation in laboratory measurements of the Earth rotation and of Newton's gravitational constant are discussed. Several papers discuss the characteristics of gyroscopes and interferometers as sensors for inertial forces, starting from gyroscopes based on light waves and comparing their sensitivity to those based on matter waves. The final topic is the variation of fundamental constants, a subject that during the last years has attracted a lot of attention from different communities of physics.



Hamiltonian Chaos Beyond The Kam Theory


Hamiltonian Chaos Beyond The Kam Theory
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Author : Albert C. J. Luo
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-01-04

Hamiltonian Chaos Beyond The Kam Theory written by Albert C. J. Luo and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-01-04 with Science categories.


“Hamiltonian Chaos Beyond the KAM Theory: Dedicated to George M. Zaslavsky (1935—2008)” covers the recent developments and advances in the theory and application of Hamiltonian chaos in nonlinear Hamiltonian systems. The book is dedicated to Dr. George Zaslavsky, who was one of three founders of the theory of Hamiltonian chaos. Each chapter in this book was written by well-established scientists in the field of nonlinear Hamiltonian systems. The development presented in this book goes beyond the KAM theory, and the onset and disappearance of chaos in the stochastic and resonant layers of nonlinear Hamiltonian systems are predicted analytically, instead of qualitatively. The book is intended for researchers in the field of nonlinear dynamics in mathematics, physics and engineering. Dr. Albert C.J. Luo is a Professor at Southern Illinois University Edwardsville, USA. Dr. Valentin Afraimovich is a Professor at San Luis Potosi University, Mexico.



Los Alamos Science


Los Alamos Science
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Author :
language : en
Publisher:
Release Date : 2002

Los Alamos Science written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Science categories.




Complexity And Control Towards A Rigorous Behavioral Theory Of Complex Dynamical Systems


Complexity And Control Towards A Rigorous Behavioral Theory Of Complex Dynamical Systems
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Author : Vladimir G Ivancevic
language : en
Publisher: World Scientific
Release Date : 2014-11-07

Complexity And Control Towards A Rigorous Behavioral Theory Of Complex Dynamical Systems written by Vladimir G Ivancevic and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-11-07 with Science categories.


The book Complexity and Control: Towards a Rigorous Behavioral Theory of Complex Dynamical Systems is a graduate-level monographic textbook, intended to be a novel and rigorous contribution to modern Complexity Theory.This book contains 11 chapters and is designed as a one-semester course for engineers, applied and pure mathematicians, theoretical and experimental physicists, computer and economic scientists, theoretical chemists and biologists, as well as all mathematically educated scientists and students, both in industry and academia, interested in predicting and controlling complex dynamical systems of arbitrary nature.



Advances In Atomic Molecular And Optical Physics


Advances In Atomic Molecular And Optical Physics
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Author :
language : en
Publisher: Elsevier
Release Date : 2006-08-03

Advances In Atomic Molecular And Optical Physics written by and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-08-03 with Science categories.


This volume of Advances in Atomic, Molecular, and Optical Physics celebrates and honors the work and life of Professor Herbert Walther. Areas of emphasis include quantum optics, in general, and BEC, atomic coherence, quantum interference, etc. in particular. - Pulls vast amount of information together in cohesive, easy to understand manner - Written by people who know and are familiar with Herbert Walther's work - Comprehensive articles - New developments



Handbook Of Applications Of Chaos Theory


Handbook Of Applications Of Chaos Theory
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Author : Christos H. Skiadas
language : en
Publisher: CRC Press
Release Date : 2017-12-19

Handbook Of Applications Of Chaos Theory written by Christos H. Skiadas and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-12-19 with Mathematics categories.


In addition to explaining and modeling unexplored phenomena in nature and society, chaos uses vital parts of nonlinear dynamical systems theory and established chaotic theory to open new frontiers and fields of study. Handbook of Applications of Chaos Theory covers the main parts of chaos theory along with various applications to diverse areas. Expert contributors from around the world show how chaos theory is used to model unexplored cases and stimulate new applications. Accessible to scientists, engineers, and practitioners in a variety of fields, the book discusses the intermittency route to chaos, evolutionary dynamics and deterministic chaos, and the transition to phase synchronization chaos. It presents important contributions on strange attractors, self-exciting and hidden attractors, stability theory, Lyapunov exponents, and chaotic analysis. It explores the state of the art of chaos in plasma physics, plasma harmonics, and overtone coupling. It also describes flows and turbulence, chaotic interference versus decoherence, and an application of microwave networks to the simulation of quantum graphs. The book proceeds to give a detailed presentation of the chaotic, rogue, and noisy optical dissipative solitons; parhelic-like circle and chaotic light scattering; and interesting forms of the hyperbolic prism, the Poincaré disc, and foams. It also covers numerous application areas, from the analysis of blood pressure data and clinical digital pathology to chaotic pattern recognition to economics to musical arts and research.