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）

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(3671)
PDF Downloads(550)
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