A CLASSICAL MODLE OF QUANTUM BERRY'S PHASE FACTOR

  • Considering that the classical evolution equations are similar to the Schrodinger eqaution,we point out that there is the structure of the Berry's Phase in the solution of a classical evolution eqaution with adiabatic changing parameters.Thus,we can use a classical evolution process to imitate the quantum adiabatic process.As an example,the motion of a charged particle in slowly-changing magnetic field is studied and the corresponding phase factor can be interpreted as a holomony of the fiber bundle on the sphare s2 in the parameter space.
  • 加载中
  • [1] M. V. Berry, Proc. R. Soc. Lend, A392(1954) . 45[2] B. Simon, Phys. Rev. Lett., 51(1983), 2167[3] R. Jackiw, MIT-CTPpieprint (1987).[4] P. Nelson and L. Alvez-Galm, Comm. Math. Phys., 39(1985),103[5] G. W. Semenoff and P. Sodana, Phys. Rev. Lett., 57(1980). 1195.[6] G. Delacreraz et al., Phys. Rev. Lett., 57(1985), 2598.[7] A. Toinita and R. Y. Chiao, Phys. Rev. Lett., 57 (1986) . 937[8] K. Tycko, Phys. Rev. Lett., 58(1987), 2281.[9] R. S. Nikam and P. Ring, Phys. Rev, Lett., 59(1987). 980.[10] Y .Aharonov and J. Anandan. Phys. Rev. Lett.. 53(1987), 1593.[11] 孙昌璞,高能物理与核物理,12(1987),351.Chang-pu Sun, J . Phys. A: Merh. Gen., 21(1983), in press.[12] J. Bitter and D. Dubber, Phys. Rev. Lett.,55(1987), 251.[13] M.V . Berry, J. Phys. A: Meth. Gen., 18(1985) . 15.J. H. Hannay, J. Phys. A:Meth. Gen., 18(1985), 221.[14] E. Gozzi and W. D. Thacker. Phys; Rev., D35(1987) 2388; 2398.[15] F. WILezek and A. Zee, Phys. Rev. Lett.. 52( 1884), 2111.
  • 加载中

Get Citation
SUN Chang-Pu. A CLASSICAL MODLE OF QUANTUM BERRY'S PHASE FACTOR[J]. Chinese Physics C, 1989, 13(2): 109-115.
SUN Chang-Pu. A CLASSICAL MODLE OF QUANTUM BERRY'S PHASE FACTOR[J]. Chinese Physics C, 1989, 13(2): 109-115. shu
Milestone
Received: 1900-01-01
Revised: 1900-01-01
Article Metric

Article Views(2517)
PDF Downloads(469)
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:

A CLASSICAL MODLE OF QUANTUM BERRY'S PHASE FACTOR

    Corresponding author: SUN Chang-Pu,
  • Northeast Normal University,Changchun

Abstract: Considering that the classical evolution equations are similar to the Schrodinger eqaution,we point out that there is the structure of the Berry's Phase in the solution of a classical evolution eqaution with adiabatic changing parameters.Thus,we can use a classical evolution process to imitate the quantum adiabatic process.As an example,the motion of a charged particle in slowly-changing magnetic field is studied and the corresponding phase factor can be interpreted as a holomony of the fiber bundle on the sphare s2 in the parameter space.

    HTML

Reference (1)

目录

/

DownLoad:  Full-Size Img  PowerPoint
Return
Return