Berry's Connection and Wu-Yang's Monopole Potential

Shen Yuelin; Ni Guangjiong

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> 1995, Vol. 19> Issue(6) : 500-507

Berry's Connection and Wu-Yang's Monopole Potential

Shen Yuelin ^, ,
Ni Guangjiong

Physics Department, Beijing,Normal University, Beijing 1008752 Physics Department,Fudan University,Shanghai 200433

Abstract
HTML
Reference
Related

PDF

Abstract：
By studying the Born-Oppenheimer equation for a neutral spin-1／2 particle moving in a spherically symmetrical magnetic field,the non-Abelian Berry's connection in the internal space is found.In the adiabatic approximation,it displays the role of Wu-Yang's monopole.The dynamics for the configurational space is studied by using the concept of section in fibre bundle.Though the angular momentum and energy are quantized,their values are moved.The origination of this phenomenon is geometrical.

References

[1]

M.V.Berry,Proc.Roy.Soc.Lond,A392（1984）45.[2]B.Simon,Phys.Rev.Lett,51（1983）2167.[3]F.Wilczeck,A.Zee,Phys.Rev.Lett,52（1984）2111.[4]Y.Aharonov,J.Anandan,Phys.Rev.Lett,58（1987）1593.[5]J.Samuel,R.Bhandri,Phys.Rev.Lett,60（1988）2339.[6]M.Born,J.R.Oppenheimer,Ann.Physik,84（1927）457.[7]J,Moody,et al,Phys.Rev.Lett,56（1986）893.[8]A.Bohm.et.al,J.Math.Phys,33（1992）977.[9]Y.Aharonov.et al,Phys.Rev.Lett,65（1990）3065.[10]Y.Aharonov,A.Stern,Phyr.Rev.Lett,69（1992）3593.[11]T.T.Wu,C.N.Yany,Phys.Rev,D12（1975）3845.[12]T.T.Wu,C.N.Yang,Nucl.Phys,B107（1976）365.[13]Y.Kazama,et al,Phys.Rev,D15（1977）2287.

[1]	JIA Duojie , LI Xi-Guo . Monopole Dynamics of Yang-Mills Theory without Gauge-Fixing. Chinese Physics C, 2003, 27(4): 293-298.
[2]	ZHANG ZhongCan , FANG ZhenYun , HU ChenGuO , SUN ShiJun . Berry Geometric Phase and Quantum Transition. Chinese Physics C, 2000, 24(12): 1106-1114.
[3]	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.
[4]	Pan Feng , Luo Yanan , Yu Shenqi . q-Deformation of Three-Parameter Wu-Zeng Formula. Chinese Physics C, 1998, 22(1): 61-70.
[5]	Shao Changgui , Chen Zhongqiu , Ma Weichuan , Chen Yihan , Lin Shuyuan . Holonomies of Gravitational Connection. Chinese Physics C, 1998, 22(1): 20-27.
[6]	Meng Jie , Zeng Jinyan , Zhao Enguang . Berry Phase and Pair Transfer Matrix Element in Rotating Nuclei. Chinese Physics C, 1994, 18(3): 249-255.
[7]	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.
[8]	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.
[9]	Sun Changpu . Topological Action Related to Berry's Phase and its Non-adiabatic Effects. Chinese Physics C, 1990, 14(S3): 265-273.
[10]	SUN Chang-Pu . TOPOLOGICAL ACTION RELATIONG TO BERRY'S PHASE AND NON-ADIABATIC EFFECTS. Chinese Physics C, 1990, 14(8): 692-699.
[11]	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.
[12]	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.
[13]	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.
[14]	Sun Changpu . Classical Model for Quantum Berry's Phase Factors. Chinese Physics C, 1989, 13(S1): 15-22.
[15]	SUN Chang-Pu . A CLASSICAL MODLE OF QUANTUM BERRY'S PHASE FACTOR. Chinese Physics C, 1989, 13(2): 109-115.
[16]	Sun Changpu . Quasi-Adiabatic Approximation for Slowly-Changing Quantum System and Berry's Phase Factors. Chinese Physics C, 1988, 12(S3): 251-260.
[17]	SUN Chang-Pu . QUASI-ADIABATIC APPROXIMATION FOR THE SLOWLY-CHANGING QUANTUM PROCCESS AND BERRY PHASE FACTOR. Chinese Physics C, 1988, 12(3): 351-357.
[18]	Wang Ming-chung , Cheng Hsi-the , Wang Ke-lin , Chang Cheng-kang , Hsien Ting-chang . SPINOR MONOPOLE SOLUTION IS POSSIBLE. Chinese Physics C, 1978, 2(1): 35-41.
[19]	TZU TUNG-PEI . THE NON-SINGULAR VECTOR POTENTIAL OF A MAGNETIC MONOPOLE IN THE DIRECTION OF MERIDIAN. Chinese Physics C, 1978, 2(1): 93-96.
[20]	Tu Tung-sheng , Ruan Tu-nan . VARIOUS EXPRESSIONS FOR THE FIELD STRENGTHS OF A MONOPOLE WITH DIFFERENT VELOCITIES AND THE INTEGRAL FORM OF THE POTENTIAL OF A MONOPOLE. Chinese Physics C, 1978, 2(1): 49-60.

Access

Get Citation

Shen Yuelin and Ni Guangjiong. Berry's Connection and Wu-Yang's Monopole Potential[J]. Chinese Physics C, 1995, 19(6): 500-507.

Shen Yuelin and Ni Guangjiong. Berry's Connection and Wu-Yang's Monopole Potential[J]. Chinese Physics C, 1995, 19(6): 500-507. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(3121)
PDF Downloads(517)
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

Berry's Connection and Wu-Yang's Monopole Potential

Shen Yuelin ^,
Ni Guangjiong

Corresponding author: Shen Yuelin,

Physics Department, Beijing,Normal University, Beijing 1008752 Physics Department,Fudan University,Shanghai 200433

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1995-06-05

Abstract: By studying the Born-Oppenheimer equation for a neutral spin-1／2 particle moving in a spherically symmetrical magnetic field,the non-Abelian Berry's connection in the internal space is found.In the adiabatic approximation,it displays the role of Wu-Yang's monopole.The dynamics for the configurational space is studied by using the concept of section in fibre bundle.Though the angular momentum and energy are quantized,their values are moved.The origination of this phenomenon is geometrical.