Chinese Physics C > 1979, Vol. 3 > Issue(1): 60-66

SPACE-TIME PROPERTY OF FERMION NUMBER

XU BO-WEI

Lanzhou University

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Abstract：
Enlarging the dimensionality of Minkowski space from 4 to 5,and relating the restmass of particle with x ₅as m=— i（ ∂/（ ∂ x_5）））we discuss the 5-dimensional non-linear con-formal group C（ M ₅）under which dx₁²+dx₂²+dx₃²-dx₀²+dx₅²=0is invariant.The C（ M ₅）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.

References

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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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沈阳化工大学材料科学与工程学院沈阳 110142

SPACE-TIME PROPERTY OF FERMION NUMBER

XU BO-WEI

Lanzhou University

Received Date:1978-03-21
Accepted Date:1900-01-01
Available Online:1979-02-05

Abstract:Enlarging the dimensionality of Minkowski space from 4 to 5,and relating the restmass of particle with x₅asm=—i（∂/（∂x_5）））we discuss the 5-dimensional non-linear con-formal groupC（M₅）under whichdx₁²+dx₂²+dx₃²-dx₀²+dx₅²=0is invariant.TheC（M₅）group is isomorphic to the linear groupSO（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.