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

Yu Zhaoxian; Zhang Dexing; Liu Yehou

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

Abstract
HTML
Reference
Related

PDF

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）

[1]	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.
[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.
[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]	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.
[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.
[8]	Shi Kangjie , Yang Wenli , Fan Heng , Hou Boyu . Bosonized Vertex Operators Realize Z-F Algebra for Z_n Symmetric Belavin R Matrix. Chinese Physics C, 1997, 21(8): 706-713.
[9]	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.
[10]	Wei Lianfu , Wang Shunjin , Jie Quanlin . q-Analogue Boson Inverse Operators and Their Application. Chinese Physics C, 1997, 21(11): 1031-1034.
[11]	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.
[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]	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.
[14]	Xie Mi , Jin Baiqi , Ma Zhongqi . L^± Operators and Quantum Enveloping Algebras. Chinese Physics C, 1996, 20(7): 617-624.
[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.

Access

Get Citation

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

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(3064)
PDF Downloads(549)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

1.
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.

HTML

Reference (1)

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

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article