Chaotic Behavior in Quantum Systems: Theory and Applications

Mathematical and Physical Properties of Schrodinger Equations with Random and Almost-Periodic Potentials.- Small Divisors in Quantum Mechanics.- The Relation Between Quantum Mechanics and Classical Mechanics: A Survey of some Mathematical Aspects.- Lifshitz Singularity of the Integrated Density of States and Absence of Diffusion Near the Bottom of the Spectrum for a Random Hamiltonian.- Fluctuations in Nuclear Spectra.- Characterization of Fluctuations of Chaotic Quantum Spectra.- Spectral Fluctuations and Chaos in Quantum Systems.- Aspects of Degeneracy.- Periodic Orbits and a Correlation Function for the Semiclassical Density of States.- Mild Chaos.- Regular and Irregular Energy Spectra.- Stochastic Ionization of Bound Electrons.- Quantum Diffusion Limitation at Excitation of Rydberg Atom in Variable Field.- Quantum Chaos and Anderson Localization.- Transition of Coherent Classical Wave to Phase Incoherence.- Chaos in Dissipative Quantum Systems.- Semiclassical Quantization on Fragmented Tori.- Quantum Ergodicity and Intensity Fluctuations.- Aspects of Intramolecular Dynamics in Chemistry.- Semiclassical Analysis of Regular and Irregular Modes of Quantum Coupled Oscillators.- Quantum Chaos as Basis for Statistical Mechanics.- Continual Observations in Quantum Mechanics.- Classical Quantization: Two Possible Approaches.- Quantum Chaos and the Theory of Measurement.- Bohr's "Phenomenon" and "Law Without Law".