Quantum Chaos
Quantum Chaos
Between Order and Disorder
Giulio Casati, Università degli Studi di Milano
Boris Chirikov, Budker Institute of Nuclear Physics, Novosibirsk, Russia
Boris Chirikov, Budker Institute of Nuclear Physics, Novosibirsk, Russia
November 2006
Paperback
9780521031660
This book represents a comprehensive overview of our present understanding of chaotic behavior 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.
- Unique breadth of coverage
- Detailed introductory chapter by the editors
- Chaos and nonlinear dynamics are two of the hottest subjects in science right now
Reviews & endorsements
"...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
Product details
November 2006Paperback
9780521031660
700 pages
243 × 168 × 35 mm
1.119kg
291 b/w illus. 15 tables
Available
Table of Contents
- Preface
- Acknowledgments
- Introduction:
- 1. The legacy of chaos in quantum mechanics G. Casati and B. V. Chirikov
- Part I. Classical Chaos and Quantum Localization:
- 2. Stochastic behaviour of a quantum pendulum under a periodic perturbation G. Casati, B. V. Chirikov, F. M. Izrailev and J. Ford
- 3. Quantum dynamics of a nonintegrable system D. R. Grempel, R. E. Prange and S. E. Fishman
- 4. Excitation of molecular rotation by periodic microwave pulses. A testing ground for Anderson localization R. Blümel, S. Fishman and U. Smilansky
- 5. Localization of diffusive excitation in multi-level systems D. K. Shepelyansky
- 6. Classical and quantum chaos for a kicked top F. Haake, M. Kus and R. Scharf
- 7. Self-similarity in quantum dynamics L. E. Reichl and L. Haoming
- 8. Time irreversibility of classically chaotic quantum dynamics K. Ikeda
- 9. Effect of noise on time-dependent quantum chaos E. Ott, T. M. Antonsen Jr and J. D. Hanson
- 10. Dynamical localization, dissipation and noise R. F. Graham
- 11. Maximum entropy models and quantum transmission in disordered systems J.-L. Pichard and M. Sanquer
- 12. Solid state 'atoms' in intense oscillating fields M. S. Sherwin
- Part II. Atoms in Strong Fields:
- 13. Localization of classically chaotic diffusion for hydrogen atoms in microwave fields J. E. Bayfield, G. Casati, I. Guarneri and D. W. Sokol
- 14. Inhibition of quantum transport due to 'scars' of unstable periodic orbits R. V. Jensen, M. M. Sanders, M. Saraceno and B. Sundaram
- 15. Rubidium Rydberg atoms in strong fields G. Benson, G. Raithel and H. Walther
- 16. Diamagnetic Rydberg atom: confrontation of calculated and observed spectra C.-H. Iu, G. R. Welch, M. M. Kash, D. Kleppner, D. Delande and J. C. Gay
- 17. Semiclassical approximation for the quantum states of a hydrogen atom in a magnetic field near the ionization limit M. Y. Kuchiev and O. P. Sushkov
- 18. The semiclassical helium atom D. Wintgen, K. Richter and G. Tanner
- 19. Stretched helium: a model for quantum chaos in two-electron atoms R. Blümel and W. P. Reinhardt
- Part III. Semiclassical Approximations:
- 20. Semiclassical theory of spectral rigidity M. V. Berry
- 21. Semiclassical structure of trace formulas R. G. Littlejohn
- 22. h-Expansion for quantum trace formulas P. Gaspard
- 23. Pinball scattering B. Eckhardt, G. Russberg, P. Cvitanovic, P. E. Rosenqvist and P. Scherer
- 24. Logarithm breaking time in quantum chaos G. P. Berman and G. M. Zaslavsky
- 25. Semiclassical propagation: how long can it last? M. A. Sepulveda, S. Tomsovic and E. J. Heller
- 26. The quantized Baker's transformation N. L. Balazs and A. Voros
- 27. Classical structures in the quantized baker transformation M. Saraceno
- 28. Quantum nodal points as fingerprints of classical chaos P. Leboeuf and A. Voros
- 29. Chaology of action billiards A. M. Ozorio de Almeida and M. A. M. de Aguiar
- Part IV. Level Statistics and Random Matrix Theory:
- 30. Characterization of chaotic quantum spectra and universality of level fluctuation laws O. Bohigas, M. J. Giannono, and C. Schmit
- 31. Quantum chaos, localization and band random matrices F. M. Izrailev
- 32. Structural invariance in channel space: a step toward understanding chaotic scattering in quantum mechanics T. H. Seligman
- 33. Spectral properties of a Fermi accelerating disk R. Badrinarayanan and J. J. José
- 34. Spectral properties of systems with dynamical localization T. Dittrich and U. Smilansky
- 35. Unbound quantum diffusion and fractal spectra T. Geisel, R. Ketzmerick and G. Petschel
- 36. Microwave studies in irregularly shaped billiards H.-J. Stöckmann, J. Stein and M. Kollman
- Index.
