Inhomogeneous Inverse Differential Realizations of the SU(1,1) Group

Yu Zhaoxian; Liu Yehou

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2024年10月30日

Chinese Physics C> 1999, Vol. 23> Issue(6) : 529-535

Inhomogeneous Inverse Differential Realizations of the SU(1,1) Group

Yu Zhaoxian ^, ,
Liu Yehou

Chengli Oilfield Workers University,Dongying 2570042 Chongqing Petroleum Advanced Polytechnic College, Chongqing 630042

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Abstract：
The generators and irreducible representation coherent stato of the SU(1,1) group are constructed by using the inverse operators of hose harmonic oscillator, and the inhomogeneous inverse differential realizations of the SU(1,1) group are derived.

References

[1]

Dirac P A M. Lectures on Quantam Field Theory. New York:Academic Press, 1966. 182 Fan Hongyi. Phys Rev.,1993, A47:45213 Fan Hongyi. Phys Lett.,1994, A191:3474 Turbiner A V, Ushveridze A G. Phys Lett., 1987, A126: 181; Turbiner A V. Commun Math Phys., 1988,118: 4675 Yu Zhaoxian, Zhang Dexing, Liu Yehou. High Energy Phys. and Nucl. Phys. (in Chinese), 1998, 22:602(于肇贤, 张德兴, 刘业厚.高能牧师与核物理,1998, 22: 602)6 Holman W J et al. Ann Phys.,1966, 39: 17 Bargmann V. Ann Math.,1947,48:568 8 Yu Zhaoxian, Yu Ge, Zhang Dexing. Commun Theor Phys., 1997, 27: 1799 Yu Ge, Zhang Dexing, Yu Zhaoxian. Commun Theor Phys., 1997, 28:57 10 Ye Yanqian. Lecture Notes on Differential Equations With Constant Coefficients. Beijing: People's Education Press, 1979, 181 (叶彦谦. 常微分议程讲义.北京:人民教育出版社, 1979, 181) 11 Jing Sicong, Frank Cuypers. Commun Theor Phys., 1993, 19:495

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Yu Zhaoxian and Liu Yehou. Inhomogeneous Inverse Differential Realizations of the SU(1,1) Group[J]. Chinese Physics C, 1999, 23(6): 529-535.

Yu Zhaoxian and Liu Yehou. Inhomogeneous Inverse Differential Realizations of the SU(1,1) Group[J]. Chinese Physics C, 1999, 23(6): 529-535. shu

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Received: 1998-04-15
Revised: 1900-01-01

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Inhomogeneous Inverse Differential Realizations of the SU(1,1) Group

Yu Zhaoxian ^,
Liu Yehou

Corresponding author: Yu Zhaoxian,

Chengli Oilfield Workers University,Dongying 2570042 Chongqing Petroleum Advanced Polytechnic College, Chongqing 630042

Received Date: 1998-04-15
Accepted Date: 1900-01-01
Available Online: 1999-06-05

Abstract: The generators and irreducible representation coherent stato of the SU(1,1) group are constructed by using the inverse operators of hose harmonic oscillator, and the inhomogeneous inverse differential realizations of the SU(1,1) group are derived.