Impact factor of Chinese Physics C is 3.6 in 2023 Impact factor of Chinese Physics C is 3.6 in 2022 2021 Impact Factor 2.944
Advanced Search
Chinese Physics C> 2002, Vol. 26> Issue(9) : 949-954 

Quantum Classical Correspondence in a 2-Dimensional Deformed Harmonic Oscillator System

  •  Institute of Modern Physics, Northwest University, Xi'an 710069, China2 Institute of Modern Physics, The Chinese Academy of Sciences, Lanzhou 730000, China

  • The time evolution of expectation values of the basic dynamic variables in a quantum system under different effective Planck constant were compared with the exact values of the basic dynamic variables in classical system. It is found, for the regular motion, the difference comes from the quantum effect; for the chaotic motion, it comes from the dynamical effect and the destruction of the dynamical system. With these results, a correspondence between the quantum heterogeneity of the phase space and the Lyapunov exponent is made satisfactorily.
  • 加载中

  • References

    [1] Gutzwiller M C. Chaos in Classical and Quantum Mechanics. Springer New York, 19902 GU Yan. Quantum Chaos, Shanghai Scientific and Technological Education Publishing House, Shanghai, 19963 XU Gong-Ou. Report in the 4th National Nuclear Reaction Conference, April, 19994 GU Yan. Physics Lett.，1990, A149(2,3):95-1005 Heirs W D et al. Phys. Rev. Lett.，1994, 72(15):2351-23546 LI Jun-Qing. J. Phys.，1998, 624:1021-10287 LIU Fang et al. High Energy Phys. and Nucl. Phys.，2000, 24(4):331-336 (in Chinese)(刘芳等.高能物理与核物理，2000,24(4):331-336)8 Wigner E P. Phys. Rev.，1932, 40 : 7499 Berry M V, Balazs N L. J. Phys.，1979, A12:625

  • Access

    加载中

Get Citation
LIU Fang, LI Jun-Qing and XING Yong-Zhong. Quantum Classical Correspondence in a 2-Dimensional Deformed Harmonic Oscillator System[J]. Chinese Physics C, 2002, 26(9): 949-954.
LIU Fang, LI Jun-Qing and XING Yong-Zhong. Quantum Classical Correspondence in a 2-Dimensional Deformed Harmonic Oscillator System[J]. Chinese Physics C, 2002, 26(9): 949-954. shu
Milestone
Received: 2001-10-19
Revised: 1900-01-01
Article Metric

Article Views(4998)
PDF Downloads(523)
Cited by(0)
Policy on re-use
To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.
通讯作者: 陈斌, bchen63@163.com
  • 1. 

    沈阳化工大学材料科学与工程学院 沈阳 110142

  1. 本站搜索
  2. 百度学术搜索
  3. 万方数据库搜索
  4. CNKI搜索

Email This Article

Title:
Email:

Quantum Classical Correspondence in a 2-Dimensional Deformed Harmonic Oscillator System

    Corresponding author: LIU Fang,
  • Institute of Modern Physics, Northwest University, Xi'an 710069, China2 Institute of Modern Physics, The Chinese Academy of Sciences, Lanzhou 730000, China
  • Received Date: 2001-10-19
  • Accepted Date: 1900-01-01
  • Available Online: 2002-09-05

Abstract: The time evolution of expectation values of the basic dynamic variables in a quantum system under different effective Planck constant were compared with the exact values of the basic dynamic variables in classical system. It is found, for the regular motion, the difference comes from the quantum effect; for the chaotic motion, it comes from the dynamical effect and the destruction of the dynamical system. With these results, a correspondence between the quantum heterogeneity of the phase space and the Lyapunov exponent is made satisfactorily.

    HTML

Reference (1)

目录

Link
IOPScience
SCOAP3
arXiv
Chinese Physical Society
Journal information
Introduction
Editorial Board
Others
Subscribe
Contact us
QQ: 1307685413
Tel: +86-010-88235947
Fax: +86-010-88233126
E-mail: cpc@ihep.ac.cn

  • CPC Website

  • IOP Website

  • CPC WeChat

Copyright © Institute of High Energy Physics, Chinese Academy of Sciences, 19B Yuquan Road, Beijing 100049, China 京ICP备05002789号-1

Supported by: Beijing Renhe Information Technology Co. Ltd  E-mail: info@rhhz.net

/

DownLoad:  Full-Size Img  PowerPoint
Return
Return