Algbraic Structure of Two-Parameter Deformed Multi-Mode Bose Operators and Their Applications (Ⅰ)

Yu Zhaoxian; Zhang Dexing; Liu Yehou

Chinese Physics C> 1997, Vol. 21> Issue(11) : 999-1004

Algbraic Structure of Two-Parameter Deformed Multi-Mode Bose Operators and Their Applications (Ⅰ)

Department of Electronic Engineering, Daqing Institute of Petroleum, Anda 1514001 Chongqing Petrolem Advanced College, Chongqing 630042

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Abstract：
Two two-parameter deformed multi-mode boss operators which satisfy quantum Heisenberg-Weyl algebra are consbucted, and their algebraic structure. studied. As examples, the Holstein-Primokoff realizations for multi-node quantum. group SU(2)_q,s. and SU(1,1)_q,s are presented, and the eigenstates of the second power of the two-parameter deformed multi-mode bose operators are constructed, and their completenesses are proved.

References

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马中骐，杨-巴克斯特方程和量子包络代数，科学出版社，1993,P334-343中所列有关文献。[2] A. J. Macfar lane, J.Phys., A22(1989)4581.[3] L. C. Biedenham, J.Phys., A22(1989)L873.[4] C. P. Sun, H.C. Fu,J.Phys., A22(1989)L983.[5] J. Katrie1, A.I.Solomon, J.Phys., A24(1991)2093.[6] R. J. Glauber, Phys. Rev. Lett., 10(1963)84.[7] R. W. Gray, C. A. Neison, J.Phys., A23(1990) L945.[8]井思聪，中国科学技术大学学报,23(1993)55.[9]Jing Sicong, Frank Cuypers,Commun.Theor,Phys.19(1993)495.[10]周焕强。驾劲松。管习文，高能物理与核物理。19(1995)420.[11]于肇贤、于舸、张德兴等，高能物理与核物理，20(1996)1082.[12]周焕强、贺劲松、张新明，高能物理与核物理，19(1995)251[13]王继锁、孙长勇、贺金玉，高能物理与核物理，20(1996)703[14]郭光灿，量子光学，高等教育出版社，1990.第67页。[15]A. L. Solomon, J. Katriel, J. Phys .,A26(1993)5443.

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Yu Zhaoxian, Zhang Dexing and Liu Yehou. Algbraic Structure of Two-Parameter Deformed Multi-Mode Bose Operators and Their Applications (Ⅰ)[J]. Chinese Physics C, 1997, 21(11): 999-1004.

Yu Zhaoxian, Zhang Dexing and Liu Yehou. Algbraic Structure of Two-Parameter Deformed Multi-Mode Bose Operators and Their Applications (Ⅰ)[J]. Chinese Physics C, 1997, 21(11): 999-1004. 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

Algbraic Structure of Two-Parameter Deformed Multi-Mode Bose Operators and Their Applications (Ⅰ)

Corresponding author: Yu Zhaoxian,

Department of Electronic Engineering, Daqing Institute of Petroleum, Anda 1514001 Chongqing Petrolem Advanced College, Chongqing 630042

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1997-11-05

Abstract: Two two-parameter deformed multi-mode boss operators which satisfy quantum Heisenberg-Weyl algebra are consbucted, and their algebraic structure. studied. As examples, the Holstein-Primokoff realizations for multi-node quantum. group SU(2)_q,s. and SU(1,1)_q,s are presented, and the eigenstates of the second power of the two-parameter deformed multi-mode bose operators are constructed, and their completenesses are proved.