Chinese Physics C > 1993, Vol. 17 > Issue(7): 631-635

q-Oscillator Representations of the Quantum Superalgebra spl_q(2,1)

CHEN Yong-Qing^,

Department of Physics,Hunan Normal University Changsha,410006

Abstract
HTML
Reference
Related

PDF

Abstract：
q-oscillator representations of the quantum superalgebra spl _q(2,1) are given in terms of one q-boson and one q-fermion or with two q-bosons and two q-fermions.

References

[1]

N.Seiberg,Commun.Math.Phys.,123(1989),177.[2]M.Jimbo,Commun.Math.Phys.,102(1986),247.[3]M.Jimbo,Lett.Math.Phys.,11(1986),247.[4]M. Chaichan and P. Kulish,Phys. Lett. ,B234(1990),72.[5]R. Floreanini,V. P. Spiridonov,and L. Vinet,Commun. Math. Phys. ,137(1991),149.[6]T. Hayashi , Commun. Math. Phys. ,127 (1990 ) ,129.[7]M. Scheunert, W. Nahm,and V. Rittenberg,J. Math. Phys. ,18(1977),155.

[1]	WU ChongShi,LI ZhongHua. Possibility of Superdeformed K=1/2 Bands in¹⁹³T1. Chinese Physics C, 2000, 24(12): 1142-1148.
[2]	FANG XiangZheng,RUAN TuNan. Description of Superdeformed Bands in¹⁴⁸Gd in q-deformed Moment of Inertia. Chinese Physics C, 2000, 24(3): 269-274.
[3]	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.
[4]	Yu Zhaoxian,Zhang Dexing,Liu Yehou. Algebraic Structure of Two-Parameter Deformed Multi-mode Bose Operators and Their Applications (Ⅲ). Chinese Physics C, 1998, 22(3): 225-233.
[5]	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.
[6]	Wei Lianfu,Wang Shunjin,Jie Quanlin. q-Analogue Boson Inverse Operators and Their Application. Chinese Physics C, 1997, 21(11): 1031-1034.
[7]	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.
[8]	Shi Kangjie,Yang Wenli,Hou Boyu,Fan Heng. q-deformed Quantum Affine Algebra in Z_nLattice Model. Chinese Physics C, 1995, 19(3): 229-240.
[9]	Yu Zhaoxian,Liu Yehou,Li Qinglin,Liang Bifang. Study of SU(2)_q,sCoherent State by Using (q,s) Deformed Harmonic Oscillators of SU(2)_q,sQuantum Algebra. Chinese Physics C, 1995, 19(3): 258-263.
[10]	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.
[11]	KUANG Le-Man,ZENG Gao-Jian. Super-coherent State Representation of Lie Superalgebra B(0,1). Chinese Physics C, 1993, 17(3): 215-221.
[12]	SHEN Qixing,YU Hong. Determination of the Spin-parity of the Boson Resonance X for the Process J/ψ→V₁+X,X→γ+V₂. Chinese Physics C, 1993, 17(11): 988-992.
[13]	FU Hong-Chen,GE Mo-Lin. Cyclic Representations of Quantum (Super) Algebras At q^p=1. Chinese Physics C, 1993, 17(8): 700-709.
[14]	YU Zu-Rong. The Generalized q-Coherent State Representation of the Quantum Algebra SU_q(2). Chinese Physics C, 1992, 16(5): 461-467.
[15]	YU Zu-Rong. Irreducible Representations of Quantum Lie Superalgebra SL_q(2/1). Chinese Physics C, 1992, 16(11): 1035-1042.
[16]	NI Guang-Jiong,WANG Rong-Tai,CHEN Su-Qing. THE NONABELIAN BOSONIZATION OF FERMION FIELDS IN (1+1) DIMENSIONS BY PATH INTEGRAL METHOD. Chinese Physics C, 1989, 13(2): 135-141.
[17]	YU Yue,GUO Han-Ying. ON GEOMETRIC QUANTIZATION FOR THE BOSONIC STRINGS(1). Chinese Physics C, 1989, 13(5): 419-428.
[18]	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.
[19]	NI GUANG-JIONG,SU RU-KENG,CHEN SU-QING. BOSE CONDENSATION OF SU(2) HIGGS FIELDS AND THE ELECTRON MASS IN WEINBERG-SALAM MODEL. Chinese Physics C, 1981, 5(4): 429-440.
[20]	HUANG CHAO-SHANG,DAI YUAN-BEN. THE PROCESS e⁺+e^-→π+q+q IN QUANTUM CHROMODYNAMICS. Chinese Physics C, 1981, 5(4): 412-416.

Access

Get Citation

CHEN Yong-Qing. q-Oscillator Representations of the Quantum Superalgebra spl _q(2,1)[J]. Chinese Physics C, 1993, 17(7): 631-635.

CHEN Yong-Qing. q-Oscillator Representations of the Quantum Superalgebra spl _q(2,1)[J]. Chinese Physics C, 1993, 17(7): 631-635. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(4296)
PDF Downloads(455)
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

q-Oscillator Representations of the Quantum Superalgebra spl_q(2,1)

CHEN Yong-Qing^,

Corresponding author:CHEN Yong-Qing,

Department of Physics,Hunan Normal University Changsha,410006

Received Date:1900-01-01
Accepted Date:1900-01-01
Available Online:1993-07-05

Abstract:q-oscillator representations of the quantum superalgebra spl_q(2,1) are given in terms of one q-boson and one q-fermion or with two q-bosons and two q-fermions.