Chinese Physics C > 1998, Vol. 22 > Issue(3): 225-233

Algebraic Structure of Two-Parameter Deformed Multi-mode Bose Operators and Their Applications (Ⅲ)

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

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Abstract：
The eigenstates of the higher power of the two-paranneter deformed multi-mode bose opcmtors are constructed. It is found that they form a complete Hilbert space Further more, the mathematical structure and the corresponding boson realization of the two-parameterr deformed quantum algebra SL _q,s(3) are given, and the 1/2 ratk tensor-like operators of SL _q,s(2) are also presented. It is pointed out that the results of SL _q,s(3) is easily generalized to a multi-mode case.

References

[1]

Ma Z Q,Yang-Baxter Equation and Quantum Enveloping Algebras（in Chinese）.Beijing:Science Press,1993,334-343（马中骐。杨-巴克斯特方程和量子包络代数。北京：科学出版社，1993.第334-343页中所列有关文献）[2]Baxter R J.Exactly Solved Models in Statistical Mechanics London,Academic Press.1982[3]Faddeev L D.Sov.Sci.Rev.Maths.,1981,C1:107[4]Belavin A A et al.Nucl.Phys.,1984.B241:333[5]Macfar lane A J.J,Phys.,1989,A22:4581[6]Biedenharn L C,J.Phys.,1989,A22:L873[7]Sun C P et al.J.Phys.,1989,A22:L983[8]Glauber R J.Phys.Rev.Lett.,1963,10:84[9]Gray R W et al.J.Phys.,l990A23:L945[10]Jing Sicong,Journal of China University of Science and Technology（in Chinese）,1993,23:55:Mod.Phys.Lett.,1993,A8:543（井思聪，中国科学技术大学学报，1993,23:55）[11]Jing SCetal.Commun.Theor.Phys.,1993,19:495[12]Zhou Huanqiang et al.High Energ,Phys.and Nucl.Phys.（in Chinese）,1995,19:420（周焕强等，高能物理与核物理，1995,19:420）[13]Yu Zhaoxian et al.High Energ.Phys.and Nucl.Phys.（in Chinese）,1996,20:1082（于肇贤等，高能物理与核物理，1996,20:1082）[14]Yu Z X et al.Commun.Theor.Phys.,1995,24:411[15]Yu Z X et al.Commun.Theor.Phys.,1997,27:179[16]Zhou Huanqiang et al.High Energ.Phys.and Nucl.Phys.（inChinese）,1995,19:251（周焕强等，高能物理与核物理，1995.19:251）

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[2]	WANG Zhong-Qing. Antibunching Properties for the Eigenstates of the Higher Powers of Annihilation Operator of a q-Deformed Non-harmonic Oscillator. Chinese Physics C, 2003, 27(2): 105-108.
[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.
[5]	WANG Zhong-Qing. Antibunching Effect for the Eigenstate of the Higher Powers of the Annihilation Operator of Two-Parameter Deformed Harmonic Oscillator. Chinese Physics C, 2001, 25(10): 964-970.
[6]	ZHANG PengFei,RUAN TuNan. Spin Operator for the Relativistic Particle. Chinese Physics C, 2000, 24(6): 585-588.
[7]	WANG JiSuo,LIU TangKun,ZHAN MingSheng. Eigenstates of the Higher Powers of Annihilation Operator of a Q-Deformed Non-harmonic Oscillator and Their Higher-Order Squeezing. Chinese Physics C, 2000, 24(12): 1115-1122.
[8]	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.
[9]	Shi Kangjie,Yang Wenli,Fan Heng,Hou Boyu. Bosonized Vertex Operators Realize Z-F Algebra for Z_nSymmetric Belavin R Matrix. Chinese Physics C, 1997, 21(8): 706-713.
[10]	Wang Jisuo,Sun Changyong,Teng Aiping. Quantum Statistic Properties of Eigenstates of the Annihilation Operatora_{qs^kof 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,Zhang Dexing,Liu Yehou. Algbraic Structure of Two-Parameter Deformed Multi-Mode Bose Operators and Their Applications (Ⅰ). Chinese Physics C, 1997, 21(11): 999-1004.
[13]	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.
[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]	Xie Mi,Jin Baiqi,Ma Zhongqi.L^±Operators and Quantum Enveloping Algebras. Chinese Physics C, 1996, 20(7): 617-624.
[16]	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.
[17]	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.
[18]	CHEN Yong-Qing. q-Oscillator Representations of the Quantum Superalgebra spl_q(2,1). Chinese Physics C, 1993, 17(7): 631-635.
[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. Algebraic Structure of Two-Parameter Deformed Multi-mode Bose Operators and Their Applications (Ⅲ)[J]. Chinese Physics C, 1998, 22(3): 225-233.

Yu Zhaoxian, Zhang Dexing and Liu Yehou. Algebraic Structure of Two-Parameter Deformed Multi-mode Bose Operators and Their Applications (Ⅲ)[J]. Chinese Physics C, 1998, 22(3): 225-233. shu

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Received: 1900-01-01
Revised: 1900-01-01

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通讯作者:陈斌, bchen63@163.com

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沈阳化工大学材料科学与工程学院沈阳 110142

Algebraic Structure of Two-Parameter Deformed Multi-mode Bose Operators and Their Applications (Ⅲ)

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:1998-03-05

Abstract:The eigenstates of the higher power of the two-paranneter deformed multi-mode bose opcmtors are constructed. It is found that they form a complete Hilbert space Further more, the mathematical structure and the corresponding boson realization of the two-parameterr deformed quantum algebra SL_q,s(3) are given, and the 1/2 ratk tensor-like operators of SL_q,s(2) are also presented. It is pointed out that the results of SL_q,s(3) is easily generalized to a multi-mode case.

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Algebraic Structure of Two-Parameter Deformed Multi-mode Bose Operators and Their Applications (Ⅲ)

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