Unified Model of Electric Monopole and Magnetic Monopole

TANG JuFei

Chinese Physics C> 2000, Vol. 24> Issue(8) : 702-710

Unified Model of Electric Monopole and Magnetic Monopole

TANG JuFei ^,

Graduate School of Chinese Academy of Sciences,Beijing 100039,China

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Abstract：
It is shown that the magnetic monopole and the electric monopole can be generated on an unified model based on the Hopf bundle (S³=S²×S¹) with the structure group U(1). The connection on the base manifold S² is divided into two types,the type of electric monopole and the type of magnetic monopole. The magnetic charge obeys the quantized condition,and the electric monopole is the solution where the magnetic quantum number n=0. The electric monopole and the magnetic monopole have the theoretical identity. They are two different states of one physical object. The time coordinate is introduced by the homotopic shift,and the electric monopole appears in an active model in the Minkowski space. The theory is Lorentz invariant.

References

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. Dirac P A M .Proc.Roy .Soc.,1931,A133 :602. WU .T T ,YANG C N .Physical Review ,1975,D12 :384 5 3. Andrzej Trautman.International Journal of Theoretical Physics,1977,16( 8) :561— 565 4. Hopf H .Mathematische Annlen ,1931,10 4 :6375. Ryder L H .J.Phys.A :Math .Gen .,1980 ,13 :437— 447;Masatsugu Minami.Prog.of Theor .Phys.,1979,62 ( 4 ) 6. JIANG ZeHan .Introduction to Topology .Shanghai:Shanghai Press of Sciences and Technology(in Chinese) ,1978,66—69(江泽涵 .拓扑学引论 .上海 :上海科学技术出版社 ,1978,66— 69)

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TANG JuFei. Unified Model of Electric Monopole and Magnetic Monopole[J]. Chinese Physics C, 2000, 24(8): 702-710.

TANG JuFei. Unified Model of Electric Monopole and Magnetic Monopole[J]. Chinese Physics C, 2000, 24(8): 702-710. shu

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Received: 1999-07-19
Revised: 1900-01-01

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沈阳化工大学材料科学与工程学院沈阳 110142

Unified Model of Electric Monopole and Magnetic Monopole

TANG JuFei ^,

Corresponding author: TANG JuFei,

Graduate School of Chinese Academy of Sciences,Beijing 100039,China

Received Date: 1999-07-19
Accepted Date: 1900-01-01
Available Online: 2000-08-05

Abstract: It is shown that the magnetic monopole and the electric monopole can be generated on an unified model based on the Hopf bundle (S³=S²×S¹) with the structure group U(1). The connection on the base manifold S² is divided into two types,the type of electric monopole and the type of magnetic monopole. The magnetic charge obeys the quantized condition,and the electric monopole is the solution where the magnetic quantum number n=0. The electric monopole and the magnetic monopole have the theoretical identity. They are two different states of one physical object. The time coordinate is introduced by the homotopic shift,and the electric monopole appears in an active model in the Minkowski space. The theory is Lorentz invariant.