Inhomogeneous Inverse Differential Realizations of the SU(2) Group

Yu Zhaoxian; Zhang Dexing; Liu Yehou

Chinese Physics C> 1998, Vol. 22> Issue(7) : 602-606

Inhomogeneous Inverse Differential Realizations of the SU(2) Group

Daqing Institute of Petroleum,Anda 1514001 Chongqing Petroleum Advanced Polytechnic College,Chongqing 630042

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Abstract：
The generators and irreducible representation coherent state of the SU(2) group are constructed using the inverse operators of bose harmonic oscillator. The inhomogeneous inverse differential realizations of the SU(2) group are derived.

References

[1]

Dirac P A M. Lectures on Quantum Field Theory. New York: Academic Press, 1966.18[2] Fan Hongyi. Phys Rev., 1993, A47(5):4521-4523[3] Fan Hongyi. Phys Lett., 1994, A191:347-351[4] Turbiner A V. Ushveridze A G. Phys Lett, 1987, A126: 181; Turbiner A V. Commun Math Phys, 1988,118:467[5] Yu Zhaoxian, Liu Yehou, Li Qlnglin et al. High Energy Phys. and Nucl. Phys. (in Chinese ), 1995, 19(3):258-263(于肇贤,刘业厚,李庆林等。高能物理与核物理,1995,19(3):258-263)[6] Yu Zhaoxian, Zhang Dexing, Yu Ge. Commun Theor Phys, 1995, 23(4):505-508[7] Ye Y Q. Lecture Notes on Differential Equations With Constant Coefficients. Beijing: People's Education Press, 1979. 181 -195(叶彦谦.常微分方程讲义.北京:人民教育出版社,1979. 181-195)

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Yu Zhaoxian, Zhang Dexing and Liu Yehou. Inhomogeneous Inverse Differential Realizations of the SU(2) Group[J]. Chinese Physics C, 1998, 22(7): 602-606.

Yu Zhaoxian, Zhang Dexing and Liu Yehou. Inhomogeneous Inverse Differential Realizations of the SU(2) Group[J]. Chinese Physics C, 1998, 22(7): 602-606. shu

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Received: 1900-01-01
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

Inhomogeneous Inverse Differential Realizations of the SU(2) Group

Corresponding author: Yu Zhaoxian,

Daqing Institute of Petroleum,Anda 1514001 Chongqing Petroleum Advanced Polytechnic College,Chongqing 630042

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1998-07-05

Abstract: The generators and irreducible representation coherent state of the SU(2) group are constructed using the inverse operators of bose harmonic oscillator. The inhomogeneous inverse differential realizations of the SU(2) group are derived.