Nonlinear Sciences – Chaotic Dynamics
Scientific paper
1999-06-08
Int. J. Mod. Phys. B 13, 2343-2360 (1999)
Nonlinear Sciences
Chaotic Dynamics
RevTex, 25 pages, 7 postscript figures, to be published in Int. J. Mod. Phys. B
Scientific paper
10.1142/S0217979299002447
Nowadays there is no universally accepted definition of quantum chaos. In this paper we review and critically discuss different approaches to the subject, such as Quantum Chaology and the Random Matrix Theory. Then we analyze the problem of dynamical chaos and the time scales associated with chaos suppression in quantum mechanics. Summary: 1. Introduction 2. Quantum Chaology and Spectral Statistics 3. From Poisson to GOE Transition: Comparison with Experimental Data 3.1 Atomic Nuclei 3.2 The Hydrogen Atom in the Strong Magnetic Field 4. Quantum Chaos and Field Theory 5. Alternative Approaches to Quantum Chaos 6. Dynamical Quantum Chaos and Time Scales 6.1 Mean-Field Approximation and Dynamical Chaos 7. Conclusions
Manfredi V. R.
Salasnich Luca
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