Perspectives on relativistic quantum chaos

Liang Huang; Ying Cheng Lai

doi:10.1088/1572-9494/ab6909

Perspectives on relativistic quantum chaos

Liang Huang, Ying Cheng Lai

Electrical, Computer, and Energy Engineering, School of (IAFSE-ECEE)

Research output: Contribution to journal › Review article › peer-review

6 Scopus citations

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.

Original language	English (US)
Article number	047601
Journal	Communications in Theoretical Physics
Volume	72
Issue number	4
DOIs	https://doi.org/10.1088/1572-9494/ab6909
State	Published - Apr 1 2020

Keywords

Dirac billiards
quantum chaos
relativistic quantum systems

ASJC Scopus subject areas

Physics and Astronomy (miscellaneous)

Access to Document

10.1088/1572-9494/ab6909

Cite this

@article{69cc39f02b67456d8cc2973cd77bd95d,

title = "Perspectives on relativistic quantum chaos",

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.",

keywords = "Dirac billiards, quantum chaos, relativistic quantum systems",

author = "Liang Huang and Lai, {Ying Cheng}",

note = "Funding Information: We thank Professor Kai Chang for the invitation to contribute a mini-review for Commun. Theor. Phys., and Mr Chenrong Liu for the help with organizing part of the references. We also thank Professor Wenge Wang and Professor Jiao Wang for carefully reading of the paper and detailed constructive suggestions. This work was supported by NSFC under Grants No. 11775101 and No. 11422541. YCL is supported by ONR through Grant No. N00014-16-1-2828. Publisher Copyright: {\textcopyright} 2020 Chinese Physical Society and IOP Publishing Ltd.",

year = "2020",

month = apr,

day = "1",

doi = "10.1088/1572-9494/ab6909",

language = "English (US)",

volume = "72",

journal = "Communications in Theoretical Physics",

issn = "0253-6102",

publisher = "IOP Publishing Ltd.",

number = "4",

}

TY - JOUR

T1 - Perspectives on relativistic quantum chaos

AU - Huang, Liang

AU - Lai, Ying Cheng

N1 - Funding Information: We thank Professor Kai Chang for the invitation to contribute a mini-review for Commun. Theor. Phys., and Mr Chenrong Liu for the help with organizing part of the references. We also thank Professor Wenge Wang and Professor Jiao Wang for carefully reading of the paper and detailed constructive suggestions. This work was supported by NSFC under Grants No. 11775101 and No. 11422541. YCL is supported by ONR through Grant No. N00014-16-1-2828. Publisher Copyright: © 2020 Chinese Physical Society and IOP Publishing Ltd.

PY - 2020/4/1

Y1 - 2020/4/1

N2 - 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.

AB - 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.

KW - Dirac billiards

KW - quantum chaos

KW - relativistic quantum systems

UR - http://www.scopus.com/inward/record.url?scp=85084204167&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85084204167&partnerID=8YFLogxK

U2 - 10.1088/1572-9494/ab6909

DO - 10.1088/1572-9494/ab6909

M3 - Review article

AN - SCOPUS:85084204167

SN - 0253-6102

VL - 72

JO - Communications in Theoretical Physics

JF - Communications in Theoretical Physics

IS - 4

M1 - 047601

ER -

Perspectives on relativistic quantum chaos

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this