A CLASSICAL MODLE OF QUANTUM BERRY'S PHASE FACTOR

SUN Chang-Pu

近期发现有不法分子冒充我刊与作者联系，借此进行欺诈等不法行为，请广大作者加以鉴别，如遇诈骗行为，请第一时间与我刊编辑部联系确认（《中国物理C》（英文）编辑部电话：010-88235947,010-88236950），并作报警处理。

本刊再次郑重声明：

（1）本刊官方网址为cpc.ihep.ac.cn和https://iopscience.iop.org/journal/1674-1137

（2）本刊采编系统作者中心是投稿的唯一路径，该系统为ScholarOne远程稿件采编系统，仅在本刊投稿网网址（https://mc03.manuscriptcentral.com/cpc）设有登录入口。本刊不接受其他方式的投稿，如打印稿投稿、E-mail信箱投稿等，若以此种方式接收投稿均为假冒。

（3）所有投稿均需经过严格的同行评议、编辑加工后方可发表，本刊不存在所谓的“编辑部内部征稿”。如果有人以“编辑部内部人员”名义帮助作者发稿，并收取发表费用，均为假冒。

《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 1989, Vol. 13> Issue(2) : 109-115

A CLASSICAL MODLE OF QUANTUM BERRY'S PHASE FACTOR

SUN Chang-Pu ^,

Northeast Normal University,Changchun

Abstract
HTML
Reference
Related

PDF

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.

References

[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.

[1]	Medina Ablikim , Edward Corrigan . Boundary Reflection Factor of the Supersymmetric Sinh-Gordon Model. Chinese Physics C, 2002, 26(S1): 47-53.
[2]	LIU Fang , LI Jun-Qing , XING Yong-Zhong . Quantum Classical Correspondence in a 2-Dimensional Deformed Harmonic Oscillator System. Chinese Physics C, 2002, 26(9): 949-954.
[3]	ZHANG ZhongCan , FANG ZhenYun , HU ChenGuO , SUN ShiJun . Berry Geometric Phase and Quantum Transition. Chinese Physics C, 2000, 24(12): 1106-1114.
[4]	Liu Chuan . Infra-red Renormalization Group Calculation of the O(N) Model in the Broken Phase. Chinese Physics C, 1999, 23(6): 594-600.
[5]	Zhang Zhongcan , Fang Zhenyun , Hu Chenguo , Sun Shijun . The Extention of Berry's Theory on Geometric Phase. Chinese Physics C, 1999, 23(10): 980-991.
[6]	Chen Xiandjun , Zhang Weining , Huo Lei , Liu Yiming . Classical Transport Equation of Quarks Consistent With Quantum Transport Equation. Chinese Physics C, 1998, 22(3): 241-246.
[7]	Chen Zhongqiu , Shao Changgui , Ma Weichuan . Calculation of Wilson Loop Functionals for Classical and Quantum Gravities. Chinese Physics C, 1998, 22(3): 217-224.
[8]	Shen Yuelin , Ni Guangjiong . Berry's Connection and Wu-Yang's Monopole Potential. Chinese Physics C, 1995, 19(6): 500-507.
[9]	Meng Jie , Zeng Jinyan , Zhao Enguang . Berry Phase and Pair Transfer Matrix Element in Rotating Nuclei. Chinese Physics C, 1994, 18(3): 249-255.
[10]	SHEN Kun , QIU Zhong-Ping . Vertex Correction and Phase Structure in (2+1) Dimensional Chiral Gross-Neveu Model. Chinese Physics C, 1993, 17(9): 811-815.
[11]	Sun Changpu , Pang Lin , Ge Molin . Effective Topological Action in Heisenberg Spin Model as Berry's Phase. Chinese Physics C, 1992, 16(S1): 51-56.
[12]	SUN Chang-Pu , PAN Lin , GE Mo-Lin . Effective topological action in Heisenberg spin model as Berry's phase. Chinese Physics C, 1992, 16(3): 202-207.
[13]	SUN Chang-Pu . TOPOLOGICAL ACTION RELATIONG TO BERRY'S PHASE AND NON-ADIABATIC EFFECTS. Chinese Physics C, 1990, 14(8): 692-699.
[14]	Sun Changpu . Topological Action Related to Berry's Phase and its Non-adiabatic Effects. Chinese Physics C, 1990, 14(S3): 265-273.
[15]	Sun Changpu , Zhang Linzhi . Berry's Phase Factor in a Moving Reference Frame and Its Observable Effects in Physics. Chinese Physics C, 1990, 14(S1): 71-81.
[16]	SUN Chang-Pu , ZHANG Lin-Zhi . BERRY'S PHASE FACTORS IN MOVING FRAMES OF REFERENCE AND THEIR OBSERVABLE EFFECTS. Chinese Physics C, 1990, 14(2): 136-144.
[17]	GAO Xiao-Chun , XU Jing-Bo , QIAN Tie-Zheng , CHEN Cheng-Ming . THE MECHANICAL BERRY PHASE AND CORRESPONDING CLASSICAL TOPOLOGICAL PHASE ANGLE. Chinese Physics C, 1990, 14(8): 704-710.
[18]	Sun Changpu . Classical Model for Quantum Berry's Phase Factors. Chinese Physics C, 1989, 13(S1): 15-22.
[19]	Sun Changpu . Quasi-Adiabatic Approximation for Slowly-Changing Quantum System and Berry's Phase Factors. Chinese Physics C, 1988, 12(S3): 251-260.
[20]	SUN Chang-Pu . QUASI-ADIABATIC APPROXIMATION FOR THE SLOWLY-CHANGING QUANTUM PROCCESS AND BERRY PHASE FACTOR. Chinese Physics C, 1988, 12(3): 351-357.

Access

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

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1900-01-01
Revised: 1900-01-01

Article Metric

Article Views(2919)
PDF Downloads(472)
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

A CLASSICAL MODLE OF QUANTUM BERRY'S PHASE FACTOR

SUN Chang-Pu ^,

Corresponding author: SUN Chang-Pu,

Northeast Normal University,Changchun

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1989-02-05

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.