Chaos and Quantum Chaos

J. A. Louw, W.‐H. Steeb

Ilya Prigogine

Cao Lihui

The chaos phenomenon in a quantum well which has a potential barrier has been studied in three-type dimensional space.The effect of the dimension on the degree of quantum chaos has been found.Furthermore,the relation between the form of potential barrier and the quantum chaos has been shown.

Stefan Weigert

Dima L. Shepelyansky

Some properties of quantum chaos G P Berman Stochastic web and structure generation G M Zaslavski, Renad Z Sagdeev, O A Usikov et al. Dynamical chaos in magnetic systems K N Alekseev, G P Berman, V I Tsifrinovich et al. Quantum chaos in interactions of multilevel quantum systems with a coherent radiation field G P Berman and A R Kolovski Minimal chaos, stochastic webs, and structures of quasicrystal symmetry G M Zaslavski, Roal'd Z Sagdeev, D A Usikov et al. Ionization of excited hydrogen atoms by microwave fields: a test case for quantum chaos R Blumel and U Smilansky Quantum effects in the long time behavior of the dissipative standard map T Dittrich and R Graham Quantum chaos: diffusion photoeffect in hydrogen

Liang Huang, Ying‐Cheng Lai

Abstract Quantum Chaos has been investigated for about a half century. It is an old yet vigorous interdisciplinary field with new concepts and interesting topics emerging constantly. Recent years have witnessed a growing interest in quantum chaos in relativistic quantum systems, leading to the still developing field of relativistic quantum chaos . The purpose of this paper is not to provide a thorough review of this area, but rather to outline the basics and introduce the key concepts and methods in a concise way. A few representative topics are discussed, which may help the readers to quickly grasp the essentials of relativistic quantum chaos. A brief overview of the general topics in quantum chaos has also been provided with rich references.