Quantum Chaos
Between Order and Disorder

This book provides a comprehensive overview of our understanding of chaotic behaviour in quantum systems.

Giulio Casati (Edited by), Boris Chirikov (Edited by)

9780521432917, Cambridge University Press

Hardback, published 27 April 1995

700 pages, 291 b/w illus. 15 tables
25.5 x 18 x 4.2 cm, 1.443 kg

"...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

Quantum Chaos provides a comprehensive overview of our understanding of chaotic behaviour 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 papers, prominent scientists put forward their particular interpretations of quantum chaos, with reference to a broad range of interesting physical systems. As yet, there is no universally accepted definition of quantum chaos. However, by dealing with such a wide range of topics from different branches of physics, this book provides an overview of this rapidly expanding field, and will be of great interest to graduate students and researchers in many areas of physics and chemistry.

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.

Subject Areas: Nonlinear science [PBWR]