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

Shen Yuelin; Ni Guangjiong

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

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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

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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.

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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

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

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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.