Communications in Theoretical Physics ›› 2020, Vol. 72 ›› Issue (4): 047601. doi: 10.1088/1572-9494/ab6909

• Topical Review: Statistical Physics, Soft Matter and Biophysics • Previous Articles    

Perspectives on relativistic quantum chaos

Liang Huang1,(),Ying-Cheng Lai2,3   

  1. 1School of Physical Science and Technology, and Key Laboratory for Magnetism and Magnetic Materials of MOE, Lanzhou University, Lanzhou, Gansu 730000, China
    2School of Electrical, Computer, and Energy Engineering, Arizona State University, Tempe, AZ 85287, United States of America
    3Department of Physics, Arizona State University, Tempe, AZ 85287, United States of America
  • Received: 2019-10-06 Revised: 2019-12-17 Accepted: 2019-12-18 Published: 2020-04-01


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.

Key words: quantum chaos, relativistic quantum systems, Dirac billiards