Quantum chaos : Varenna on Lake Como, Villa Monsatero, 23 July -2 August, 1991 /: Varenna on Lake Como, Villa Monsatero, 23 July -2 August, 1991. (1993)

• Record Type: Book
• Further Information: Note: Edited by G. Casati, I. Guarneri, and U. Smilansky.
• Editors: Casati, Giulio, 1942-; Guarneri, I; Smilansky, U
• Other Names: Società italiana di fisica.; International School of Physics "Enrico Fermi"
• Contents: Front Cover; Quantum Chaos; Copyright Page; Table of Contents; Preface; Chapter 1. Hyperbolic Structure in Classical Chaos; 1. Introduction.; 2. Transverse homoclinic orbits; 3. Anti-integrable limit; 4. Interlude; 5. Anosov systems; 6. Nonzero Lyapunov exponents; 7. Flux; 8. Summary; A guide to the literature; APPENDIX: Mathematical notation; Chapter 2. A New Paradigm in Quantum Chaos: Aubry's Theory of Equilibrium States for the Adiabatic Holstein Model; 1. Introduction; 2. The model; 3. The anti-integrable limit t = 0; 4. Small hopping; 5. Explicit estimates; 6. Properties; 7. Extensions APPENDIX A: Notation and basic mathematical resultsAPPENDIX B: Comments on the proof of [1]; APPENDIX C: Solution of a recurrence inequality; APPENDIX D: Variation of the electronic energy with configuration u; REFERENCES; Chapter 3. Periodic-Orbit Theory; 1. Introduction; 2. Semi-classical periodic-orbit theory; 3. Organizing chaos; 4. Symmetries; 5. The three-disk system; 6. Classical periodic-orbit theory; 7. Matrix elements; 8. Final remarks; REFERENCES; Chapter 4. The Semi-Classical Helium Atom.; 1. Introduction; 2. Classical motion in helium; 3. Semi-classical quantization 4. Adiabatic vs. chaotic motion5. Summary and conclusions; REFERENCES; Chapter 5. The Riemann Zeta-Function and Quantum Chaology; 1. The Riemann zeta-function; 2. The functional equation; 3. The staircase of zeros; 4. The quantum chaology connection; 5. Convergence properties of periodic-orbit formulae; 6. Riemann-Siegel resummation; 7. The pair correlation of the zeros; APPENDIX: Probabilistic number theory and the pairwise distribution of the primes; REFERENCES; Chapter 6. Quantum Localization; 1. Introduction; 2. The kicked rotor; 3. Anderson localization 4. The mapping of the kicked-rotor problem on the Anderson model5. Adiabatic localization; 6. Measures and manifestations of localization; 7. Summary; 8. Related problems; REFERENCES; Chapter 7. Dynamical Localization in the Hydrogen Atom; 1. Introduction; 2. Classical dynamics; 3. One-dimensional model; 4. Kepler map; 5. Photonic localization; 6. Derealization; 7. Quantization of the Kepler map and the scattering problem; 9. Conclusion; REFERENCES; Chapter 8. Dynamical Localization, Dissipation and Noise; 1. Introduction; 2. Dissipative quantum dynamics 3. Dynamical localization in the dissipative kicked-rotor model4. Rydberg atoms in a noisy waveguide; REFERENCES; Chapter 9. Statistics of Quasi-Energy Spectrum.; 1. Introduction; 2. Some time-dependent models with classical chaos; 3. The kicked-rotator model; 4. General properties of the quasi-energy spectrum and quantum resonance; 5. Uncorrelated statistics of quasi-energy; 6. Maximal statistical properties of quasi-energy spectra; 7. Intermediate statistics caused by the localization; REFERENCES; Chapter 10. Scattering and Resonances: Classical and Quantum Dynamics.; 1. Introduction
• Publisher Details: Amsterdam : North-Holland
• Publication Date: 1993
• Extent: 1 online resource (xiii, 413 pages), illustrations
• Subjects: 530.1/2; Quantum chaos -- Congresses; Chaos quantique -- Congrès; Quantum chaos; SCIENCE / Energy; SCIENCE / Mechanics / General; SCIENCE / Physics / General; Igneous rocks; Conference papers and proceedings; Electronic books; Electronic books
• Languages: English
• ISBNs: 9781483290324; 1483290328
• Related ISBNs: 9780444815880
• Notes: Note: Includes bibliographical references.; Note: Description based on print version record.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.