SPACE-TIME PROPERTY OF FERMION NUMBER

  • Enlarging the dimensionality of Minkowski space from 4 to 5,and relating the restmass of particle with x5 as m=—i∂/(∂x5)))we discuss the 5-dimensional non-linear con-formal group CM5)under which dx12+dx22+dx32-dx02+dx52=0 is invariant.The CM5)group is isomorphic to the linear group SO(5,2)from which we study thespace-time property of Fermion number,and the relations between half-integral(in-tegral)spin and odd(even)Fermion number are obtained.
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  • [1] C. Garrod, Rev. Mod. Phys., 38 (1966), 483.[2] B. Robertson, Phys. Rev. Lett., 27 (1971), 1545[3] H. Bateman, J. Lond. Math. Soc., 8 (1908), 70.[4] A. O. Barut and R. B. Hangen, Ann. Phys., 71 (1972), 519.[5] G. 拉卡著,《群论和核谱》,高等教育出版社,1959.[6] R. H. Behrends at. al., Rev. Mod. Phys., 34 (1962), 1.r.L r.L工..‘rl
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XU BO-WEI. SPACE-TIME PROPERTY OF FERMION NUMBER[J]. Chinese Physics C, 1979, 3(1): 60-66.
XU BO-WEI. SPACE-TIME PROPERTY OF FERMION NUMBER[J]. Chinese Physics C, 1979, 3(1): 60-66. shu
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Received: 1978-03-21
Revised: 1900-01-01
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SPACE-TIME PROPERTY OF FERMION NUMBER

  • Lanzhou University

Abstract: Enlarging the dimensionality of Minkowski space from 4 to 5,and relating the restmass of particle with x5 as m=—i∂/(∂x5)))we discuss the 5-dimensional non-linear con-formal group CM5)under which dx12+dx22+dx32-dx02+dx52=0 is invariant.The CM5)group is isomorphic to the linear group SO(5,2)from which we study thespace-time property of Fermion number,and the relations between half-integral(in-tegral)spin and odd(even)Fermion number are obtained.

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