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| Author | : R. Blümel |
| Publisher | : Cambridge University Press |
| Total Pages | : 344 |
| Release | : 1997-07-24 |
| Genre | : Science |
| ISBN | : 0521455022 |
This book provides a coherent introduction to the manifestations of chaos in atoms and molecules.
| Author | : Jean-Claude Gay |
| Publisher | : CRC Press |
| Total Pages | : 386 |
| Release | : 1992 |
| Genre | : Atoms |
| ISBN | : 9782881244827 |
Deals with the study of irregular behavior in few-body systems, with emphasis on the aspects of atomic physics. Areas covered include the atom in a magnetic field, microwave ionization of Rydberg atoms, and quasi-Wigner crystals in ion traps. All but one of the papers first appeared in volume 25 of the journal Comments on atomic and molecular physics. No index. Annotation copyrighted by Book News, Inc., Portland, OR
| Author | : P. Cvitanovic |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 325 |
| Release | : 2013-04-17 |
| Genre | : Science |
| ISBN | : 9401579792 |
This volume contains the proceedings of the NATO Advanced Research Workshop on `Quantum Chaos -- Theory and Experiment', held at the Niels Bohr Institute, University of Copenhagen, from 28 May to 1 June 1991. The work brings together leading quantum chaos theorists and experimentalists and greatly improves our understanding of the physics of quantum systems whose classical limit is chaotic. Quantum chaos is a subject of considerable current interest in a variety of fields, in particular nuclear physics, chemistry, statistical mechanics, atomic physics, condensed matter physics and nonlinear dynamics. The volume contains lectures about the currently most active fronts of quantum chaos, such as scars, semiclassical methods, quantum diffusion, random matrix spectra, quantum chaos in atomic and nuclear physics, and possible implications of quantum chaos for the problem of quantum measurement. Part of the book -- The Physics of Quantum Measurements -- is dedicated to the memory of John Bell.
| Author | : R. Blümel |
| Publisher | : Cambridge University Press |
| Total Pages | : 356 |
| Release | : 1997-07-24 |
| Genre | : Science |
| ISBN | : 9780521455022 |
This book provides a coherent introduction to the manifestations of chaos in atoms and molecules.
| Author | : P. Cvitanovic |
| Publisher | : Springer |
| Total Pages | : 332 |
| Release | : 1992-01-31 |
| Genre | : Science |
| ISBN | : 9780792315995 |
This volume contains the proceedings of the NATO Advanced Research Workshop on `Quantum Chaos -- Theory and Experiment', held at the Niels Bohr Institute, University of Copenhagen, from 28 May to 1 June 1991. The work brings together leading quantum chaos theorists and experimentalists and greatly improves our understanding of the physics of quantum systems whose classical limit is chaotic. Quantum chaos is a subject of considerable current interest in a variety of fields, in particular nuclear physics, chemistry, statistical mechanics, atomic physics, condensed matter physics and nonlinear dynamics. The volume contains lectures about the currently most active fronts of quantum chaos, such as scars, semiclassical methods, quantum diffusion, random matrix spectra, quantum chaos in atomic and nuclear physics, and possible implications of quantum chaos for the problem of quantum measurement. Part of the book -- The Physics of Quantum Measurements -- is dedicated to the memory of John Bell.
| Author | : Peter W Milonni |
| Publisher | : World Scientific Publishing Company |
| Total Pages | : 384 |
| Release | : 1987-06-01 |
| Genre | : Science |
| ISBN | : 9813103892 |
Contents: Dissipative Systems: Introduction Nonlinearity Period Doubling to Chaos Lyapunov Exponent Power Spectra Correlations Remarks Feigenbaum Universality Feigenbaum Universality: Outline of Exact Renormalization Theory Experimental Observations Duffing Oscillator Period Doubling to Chaos in a CO2 Laser Experiment Bifurcations Intermittency (Pomeau-Manneville) Route to Chaos Quasiperiodicity to Chaos: Ruelle-Takens-Newhouse Scenario Strange Attractors, Dimensions, and Fractals Measuring Lyapunov Exponents Measuring Dimensions Kolmogorov Entropy Noise Maxwell-Bloch Equations Lorentz Model and Single-Mode Laser Single-Mode Instabilities: Homogeneous Broadening Mode Splitting Inhomogeneous Broadening: Chaos Associated with Casperson Instability Inhomogeneous Broadening: Experiments Multimode Instabilities Physical Explanations of Self-Pulsing Instabilities Transverse Mode Effects More Laser Instabilities Optical Bistability Chaos in Optically Bistability Hamiltonian Systems: Classical Hamiltonian Systems Integrability and Action-Angle Variables Integrability, Invariant Tori, and Quasiperiodicity Ergodicity, Mixing, and Chaos Fermi-Pasta-Ulam Model KAM Theorem Overlapping Resonances Henon-Heiles Model Characterization of Chaotic Behavior Is Classical Physics Really Deterministic? Kicked Pendulum and Standard Mapping Chaos in a Classical Model of Multiple-Photon Excitation of Molecular Vibrations Chaos in a Classical Model of a Rotating Molecule in a Laser Field Stochastic Excitation Quantum Chaos Regular and Irregular Spectra Kicked Two-State System Chaos in the Jaynes-Cummings Model Quantum Theory of the Kicked Pendulum Localization Classical and Quantum Calculations for a Hydrogen Atom in a Microwave Field Epilogue Readership: Laser scientists and engineers, physicists, applied mathematicians and researchers in nonlinear dynamics. Related Books Free and Guided Optical Beams Laser Cleaning II A Bouquet of Numbers and Other Scientific Offerings Universal Fluctuations Geometric Perturbation Theory in Physics
| Author | : Andreas Knauf |
| Publisher | : Birkhäuser |
| Total Pages | : 104 |
| Release | : 2012-12-06 |
| Genre | : Science |
| ISBN | : 3034889321 |
Our DMV Seminar on 'Classical Nonintegrability, Quantum Chaos' intended to introduce students and beginning researchers to the techniques applied in nonin tegrable classical and quantum dynamics. Several of these lectures are collected in this volume. The basic phenomenon of nonlinear dynamics is mixing in phase space, lead ing to a positive dynamical entropy and a loss of information about the initial state. The nonlinear motion in phase space gives rise to a linear action on phase space functions which in the case of iterated maps is given by a so-called transfer operator. Good mixing rates lead to a spectral gap for this operator. Similar to the use made of the Riemann zeta function in the investigation of the prime numbers, dynamical zeta functions are now being applied in nonlinear dynamics. In Chapter 2 V. Baladi first introduces dynamical zeta functions and transfer operators, illustrating and motivating these notions with a simple one-dimensional dynamical system. Then she presents a commented list of useful references, helping the newcomer to enter smoothly into this fast-developing field of research. Chapter 3 on irregular scattering and Chapter 4 on quantum chaos by A. Knauf deal with solutions of the Hamilton and the Schr6dinger equation. Scatter ing by a potential force tends to be irregular if three or more scattering centres are present, and a typical phenomenon is the occurrence of a Cantor set of bounded orbits. The presence of this set influences those scattering orbits which come close.
| Author | : Harald Friedrich |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 322 |
| Release | : 2012-12-06 |
| Genre | : Science |
| ISBN | : 3662008637 |
After a brief review of quantum mechanics and a summary of conventional atomic theory, H. Friedrich discusses the structure of atomic spectra on the basis of quantum defect theory, which is treated for the first time at such a basic level in a textbook. Special attention is given to highly excited states and to the influence of external fields, which can cause intricate and interesting effects in seemingly simple systems. After a chapter on reaction theory the final chapter treats special topics such as multiphoton absorption and chaos. The book contains the kind of advanced quantum mechanics needed for practical applications in modern atomic physics. The presentation is kept deliberately simple and avoids abstract formalism as far as possible.
| Author | : Hans-Jürgen Stöckmann |
| Publisher | : Cambridge University Press |
| Total Pages | : 386 |
| Release | : 1999-10-13 |
| Genre | : Science |
| ISBN | : 0521592844 |
Discusses quantum chaos, an important area of nonlinear science.
| Author | : Thomas H. Seligman |
| Publisher | : Springer |
| Total Pages | : 400 |
| Release | : 1986 |
| Genre | : Science |
| ISBN | : |
