Nodvik and Holstein-Primakoff Realizations for Two-ParameterDeformed Quantum Algebra SU(1,1)_(q,s)

Yu Zhaoxian; Yu Ge; Zhang Dexing; Liu Yehou

Chinese Physics C> 1996, Vol. 20> Issue(12) : 1082-1086

Nodvik and Holstein-Primakoff Realizations for Two-ParameterDeformed Quantum Algebra SU(1,1)_(q,s)

Department of Electronic Engineering,Daqing Institute of Petroleum,Anda 151400

Abstract
HTML
Reference
Related

PDF

Abstract：
The Nodvik and Holstein-Primakoff realizations for the two-parameter deformed quantum algebra SU(1,1)_q,s are given.The deformed mappings between SU(1,1)_q,s and a two-parameter deformed oscillator are also presened.

References

[1]

N.Seiberg,Commun.Math.iPhys/i,123（1989）177[2] 井思聪，中国科学技术大学学报，23（1993）55.[3] A.Schrirrmacher,J.Wess,B.Zumino,iPhys/i,C49（1991）317[4] L、CBiedenharn,JiPhys/i,A22（1989）L873.[5] A.JMacfarlane,J.iPhys/i,AH（1989）4581.[6] 周焕强、贺劲松、管习文，高能物理与核物理，19（1995）420[7] Jillg Sicollg,Frank Cnypers,Commun.Theor.iPhys/i.,19（1993）495[8] Yu Zhaosian,Yu De,Zhang Deaing,Clebech-Gordan Coefficients for The Two-Parameter Deformed uantum Algrbra SU（1,1）q,s（Ⅰ）（Ⅱ）,toappearin Commun.Theor.iPhys/i[9] J.Katriel,A.I、Solomon,JiPhys/i,A24（1991）1093.[10] 马中骐着，杨-巴克斯特方程和量子包络代数，科学出版社，1993,P96.

[1]	YUAN Ling , CHEN Bing , ZHANG Ai-Lin . Mixing between the 2³S₁ and 1³D₁ D_s. Chinese Physics C, 2013, 37(2): 023102. doi: 10.1088/1674-1137/37/2/023102
[2]	LI Yi-He , WU Shi-Shu . Strange K nuclear systems (S=－1). Chinese Physics C, 2009, 33(8): 645-647. doi: 10.1088/1674-1137/33/8/009
[3]	LIU Da-Qing . Compute the Real Orthogonal Form of [n—1,1] Representation of S_n Group in a Special Representation Space. Chinese Physics C, 2007, 31(12): 1099-1101.
[4]	ZHAO Feng-Li , HUANG Yong-Qing . 1kW S-Band RF Solid State Amplifier for BEPC Linac Microwave Driver System. Chinese Physics C, 2003, 27(11): 1031-1033.
[5]	CHEN FengZhi , WANG Ping . An SU (3)_L×U(1)_X Electroweak Model. Chinese Physics C, 2000, 24(11): 985-990.
[6]	Hul Ping . (2+1)-D SU(3)0⁺⁺ Glueball Wavefunction. Chinese Physics C, 1999, 23(4): 340-346.
[7]	Liu Yaoyang , Sun Lazhen , Jiang Xiangdong . SU(3)_C×SU(2)_I×U(1)_Y Theory of Composite Leptons. Chinese Physics C, 1998, 22(11): 996-1003.
[8]	Shi Kangjie , Yang Wenli , Hou Boyu , Fan Heng . q-deformed Quantum Affine Algebra in Z_n Lattice Model. Chinese Physics C, 1995, 19(3): 229-240.
[9]	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.
[10]	Yu Zhaoxian , Liu Yehou , Li Qinglin , Liang Bifang . Study of SU(2)_q,s Coherent State by Using (q,s) Deformed Harmonic Oscillators of SU(2)_q,s Quantum Algebra. Chinese Physics C, 1995, 19(3): 258-263.
[11]	Hao Sanru , Li Guanghua , Long Junyan . q-Deformed Charged Fermion Coherent States and SU(3)Charged, Hypercharged Fermion Coherent States. Chinese Physics C, 1994, 18(10): 919-927.
[12]	YANG Ya-Ping , YU Zu-Rong . Irreducible Representation of Quantum Algebra SU_q(4). Chinese Physics C, 1993, 17(5): 423-430.
[13]	PAN Feng . Vector Coherent State Representations of SO₅ SU₂ SU₂ U₁ U₁ and SO₅ U₁ U₁. Chinese Physics C, 1991, 15(2): 178-186.
[14]	LI Zhi-Bing , ZHENG Wei-Hong , GUO Shuo-Hong . THE MC CALCULATION OF MASS GAP IN 2+1 DIMENSIONAL SU(2) LATTICE GAUGE THEORY. Chinese Physics C, 1989, 13(4): 316-319.
[15]	LIU Jin-Ming , ZHENG Wei-Hong , GUO Shuo-Hong . THE MASS GAP IN 2+1 DIMENSIONAL SU(3) LATTICE CAUGE THEORY. Chinese Physics C, 1988, 12(3): 420-424.
[16]	ZHENG Wei-Hong , LIU Jin-Ming , GUO Shuo-Hong . THE MASS GAP IN 2+1 DIMENSIONAL SU(2) LATTICE GAUGE THEORY. Chinese Physics C, 1988, 12(1): 134-136.
[17]	Zheng Weihong , Liu Jinming , Guo Shuohong . The Mass Gap in 2 + 1 Dimensional SU(2) Lattice Gauge Theory. Chinese Physics C, 1988, 12(S1): 51-54.
[18]	SONG Xiao-Tong , CHING Cheng-Rui , HO Tso-Hsiu . APPROXIMATE B.S. WAVE FUNCTIONS FOR AN ELECTROMAGNETIC BOUND SYSTEM OF SPINS (1/2, 1/2) OR (1/2, 1/2) WITH UNEQUAL MASSES. Chinese Physics C, 1984, 8(5): 531-538.
[19]	HUANG CHAO-SHANG . THE LARGE MOMENTUM BEHAVIOR OF THE ELECTROMAGNETIC TRANSITION FORM FACTOR F_A₁π(q²) IN QCD. Chinese Physics C, 1982, 6(2): 168-175.
[20]	MA ZHONG-QI , DONG FANG-XIAO , YUE ZONG-WU , ZHOU XIAN-JIAN , XUE PEI-YOU . DISCUSSION OF A SU(2)×U(1)×S₃ MODEL WITH TWO HIGGS DOUBLETS AND CALCULATION OF CABIBBO-LIKE-PARAMETERS. Chinese Physics C, 1981, 5(3): 298-306.

Access

Get Citation

Yu Zhaoxian, Yu Ge, Zhang Dexing and Liu Yehou. Nodvik and Holstein-Primakoff Realizations for Two-ParameterDeformed Quantum Algebra SU(1,1)_(q,s)[J]. Chinese Physics C, 1996, 20(12): 1082-1086.

Yu Zhaoxian, Yu Ge, Zhang Dexing and Liu Yehou. Nodvik and Holstein-Primakoff Realizations for Two-ParameterDeformed Quantum Algebra SU(1,1)_(q,s)[J]. Chinese Physics C, 1996, 20(12): 1082-1086. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(3130)
PDF Downloads(489)
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

Nodvik and Holstein-Primakoff Realizations for Two-ParameterDeformed Quantum Algebra SU(1,1)_(q,s)

Corresponding author: Yu Zhaoxian,

Department of Electronic Engineering,Daqing Institute of Petroleum,Anda 151400

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1996-12-05

Abstract: The Nodvik and Holstein-Primakoff realizations for the two-parameter deformed quantum algebra SU(1,1)_q,s are given.The deformed mappings between SU(1,1)_q,s and a two-parameter deformed oscillator are also presened.