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

Yu Zhaoxian; Zhang Dexing; Liu Yehou

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2024年10月30日

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

[1]

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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[2]	JIANG Jun-Qin . Antibunching Effect of the Excited Two-Parameter Deformed Even and Odd Coherent States. Chinese Physics C, 2003, 27(1): 15-18.
[3]	HUANG Chun-Qing , JIANG Jun-Qin . Squeezing Property of the Excited Two-Parameter Deformed Even and Odd Coherent States. Chinese Physics C, 2003, 27(3): 196-199.
[4]	WANG Ji-Suo , FENG Jian , LIU Tang-Kun , ZHAN Ming-Sheng . Antibunching Effect of Eigenstates of the Operator bQ－K in a Q-Deformed Non-harmonic Oscillator. Chinese Physics C, 2002, 26(6): 569-575.
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[7]	Yu Zhaoxian , Zhang Dexing , Liu Yehou . Algebraic Structure of Two-Parameter Deformed Multi-mode Bose Operators and Their Applications (Ⅱ). Chinese Physics C, 1998, 22(1): 28-33.
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[10]	Wang Jisuo , Sun Changyong , Teng Aiping . Quantum Statistic Properties of Eigenstates of the Annihilation Operatora_{qs^k of Two Parameter Deformed Harmonic Oscillator}. Chinese Physics C, 1997, 21(9): 793-800.
[11]	Wei Lianfu , Wang Shunjin , Jie Quanlin . q-Analogue Boson Inverse Operators and Their Application. Chinese Physics C, 1997, 21(11): 1031-1034.
[12]	Yu Zhaoxian , Yu Ge , Zhang Dexing , Liu Yehou . Nodvik and Holstein-Primakoff Realizations for Two-ParameterDeformed Quantum Algebra SU(1,1)_(q,s). Chinese Physics C, 1996, 20(12): 1082-1086.
[13]	Xie Mi , Jin Baiqi , Ma Zhongqi . L^± Operators and Quantum Enveloping Algebras. Chinese Physics C, 1996, 20(7): 617-624.
[14]	Wang Jisuo , Sun Changyong , He Jinyu . Eigenstates of the Higher Power of the Annihilation Operator ofTwo-Parameter Deformed Harmonic Oscillator. Chinese Physics C, 1996, 20(8): 703-706.
[15]	Zhou Huanqiang , He Jingsong , Guan Xiwen . Some Remarks on a Two-Parameter Quantum Algebra SU_qs(2) and a Two-Parameter Deformed Harmonic Oscillator. Chinese Physics C, 1995, 19(5): 420-423.
[16]	Zhou Huanqiang , He Jingsong , Zhang Xinming . Eigenstates of the Second Power of the Annihilation Operator of Two-Parameter Deformed Harmonic Oscillator. Chinese Physics C, 1995, 19(3): 251-257.
[17]	CHEN Yong-Qing . q-Oscillator Representations of the Quantum Superalgebra spl_q(2,1). Chinese Physics C, 1993, 17(7): 631-635.
[18]	LI Chong-Sheng , HU Bing-Quan . The Neutron Electric Dipole Moment and the Weinberg's Operator. Chinese Physics C, 1992, 16(10): 900-911.
[19]	YU Yue . SYMPLECTIC STRUCTURES AND QUANTIZATION FOR BOSONIC STRINGS IN BRST FORMALISM. Chinese Physics C, 1989, 13(1): 92-96.
[20]	BAO Cheng-Guang , WANG Ru-Lin , PAN Ji-Zhi . REGROUPING CYCLE STRUCTURE IN THE ANTISYMMETRIZER AND A THEORY OF BOSON MAPPING. Chinese Physics C, 1987, 11(4): 483-490.

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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.