The Generalized q-Coherent State Representation of the Quantum Algebra SU<SUB>q</SUB>(2)

YU Zu-Rong

Chinese Physics C> 1992, Vol. 16> Issue(5) : 461-467

The Generalized q-Coherent State Representation of the Quantum Algebra SU_q(2)

YU Zu-Rong ^,

Department of Physics,Tongji University,Shanghai 200092

Abstract
HTML
Reference
Related

PDF

Abstract：
The generalized q-coherent state of the quantum group SU_q(2) is defined.The q-coherent state realization of the quantum algebra SU_q(2) is given.This realization may be considered as q-Dyson realization.In analogy to the usual Lie algebra SU_q(2),the q-Holstein-Primakoff representation is also found from the q-Dyson representation.The transformation matrix between the q-Dyson and Holstein-Primakoff representation is obtained.

References

[1]

V. G, Drienfeld, In Proceeding of Inter. Congress of Math. (MSRI, Berkely 1988) p. 798.[2] P. P. Paychev, et al., J. Phys Gl6(1990), L137.[3] D. Bonatsos, et al., Phys. Lett.,B251(1990), 477.[4] J. Meng, C. S. Wu J. Y. Zeng As-ITP-91-06.[5] J. Do6aczewski, Nucl. Phys A369(1981), 213, 237.[6]Zurong Yu J. Phys., A23(1990), L939.[7] T. L. Curtright, et aL, Phys. Lett., B243(I990), 237.[8] Zurong Yu, J. Phys., A24(1991), L399,[9] R. W. Gray, et al., J. Phys., A23(1990), L945.[10] K. T. Hecht, Lec. Notes in Phys., Vol. 290(1987), p. 1.[11] D. J. Rowe, Rep. Prog. Phys., 48(1985), 1419.[12] Pan Feng Chinese Phys. Lett., 8(1991), 56.

[1]	Shaowei Lan , Qiuhua Liu , Yong Li , Shusu Shi . Energy Dependence of Elliptic Flow Ratio v₂^PP/v₂^RP in Heavy-ion Collisions Using the AMPT Model. Chinese Physics C, 2026, 50(3): 1-6.
[2]	Yu Yao , Xuejie Liu , Xiaoyun Chen , Yuheng Wu , Jialun Ping , Yue Tan , Qi Huang . Investigation of Resonances in the Σ(1/2^-) System Based on the Chiral Quark Model. Chinese Physics C, 2026, 50(3): 1-11.
[3]	Bo Lan , Qin-Ze Song , Jin-Huan Sheng , Yi Qiao , Ru-Min Wang . Study of χ_cJ (J = 0,1,2) decays to light meson pairs based on SU(3) flavor symmetry/breaking analysis. Chinese Physics C, 2025, 49(12): 123106. doi: 10.1088/1674-1137/adff00
[4]	Ulaş Özdem . Unveiling the electromagnetic structure and intrinsic dynamics of spin-3/2 hidden-charm pentaquarks: A comprehensive QCD analysis. Chinese Physics C, 2025, 49(10): 103106. doi: 10.1088/1674-1137/ade95a
[5]	Manpreet Kaur , Sushil Kumar , Sukhjeet Singh , A. K. Jain . Signature splitting in three-quasineutron rotational band 3/2[521]_ν$\otimes $1/2[660]_ν$\otimes $1/2[660]_νof ¹⁵⁵Dy. Chinese Physics C, 2025, 49(10): 104103. doi: 10.1088/1674-1137/ade95e
[6]	Che-Hao Liu , Van Que Tran , Qiaoyi Wen , Fanrong Xu , Tzu-Chiang Yuan . New contributions to b → sγ in the minimal G2HDM. Chinese Physics C, 2025, 49(8): 083107. doi: 10.1088/1674-1137/add873
[7]	Yu-xin Cheng , De-hao Zhao , Yue-yang Shao , Li Gong , Tao Wang , Xiao-shen Kang . SU(3) analysis for B(E2) anomaly. Chinese Physics C, 2025, 49(10): 104105. doi: 10.1088/1674-1137/aded05
[8]	HU Xi-Duo , SHAO Ming-Zhu , LUO Shi-Yu , LIU Yong-Sheng , ZHU De-Hai . Average Field Idea and Single Particle Model for 2 Dimension Crystallization Beams(Ⅱ). Chinese Physics C, 2004, 28(2): 196-199.
[9]	Medina Ablikim , HUANG Wei-Cheng , . New Realization of N=2 Supersymmetric QuantumMechanics and Shape Invariance. Chinese Physics C, 2002, 26(4): 338-345.
[10]	Chen Zhongqiu , Shao Changgui , Ma Weichuan . Calculation of Wilson Loop Functionals for Classical and Quantum Gravities. Chinese Physics C, 1998, 22(3): 217-224.
[11]	Yang Jianjun , Ma Boqiang , Li Guanglie . Non-perturbative Quark Propagator and the Study of the Non-trivial Q² Dependence in the Nucleon Structure Functions. Chinese Physics C, 1997, 21(2): 146-156.
[12]	BES Collaboration . Experimental Study of Resonance f₂(1270) in the J/ψ Hadronic Decay. Chinese Physics C, 1993, 17(2): 97-106.

Access

Get Citation

YU Zu-Rong. The Generalized q-Coherent State Representation of the Quantum Algebra SU_q(2)[J]. Chinese Physics C, 1992, 16(5): 461-467.

YU Zu-Rong. The Generalized q-Coherent State Representation of the Quantum Algebra SU_q(2)[J]. Chinese Physics C, 1992, 16(5): 461-467. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(2874)
PDF Downloads(418)
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

The Generalized q-Coherent State Representation of the Quantum Algebra SU_q(2)

YU Zu-Rong ^,

Corresponding author: YU Zu-Rong,

Department of Physics,Tongji University,Shanghai 200092

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1992-05-05

Abstract: The generalized q-coherent state of the quantum group SU_q(2) is defined.The q-coherent state realization of the quantum algebra SU_q(2) is given.This realization may be considered as q-Dyson realization.In analogy to the usual Lie algebra SU_q(2),the q-Holstein-Primakoff representation is also found from the q-Dyson representation.The transformation matrix between the q-Dyson and Holstein-Primakoff representation is obtained.