THE IRREDUCIBLE REPRESENTATIONS AND THEIR OCCUPATION NUMBER IN DIRECT MULTIPLICATION OF IRREDUCIBLE REPRESENTATIONS OF <EM>SU</EM><SUB>3</SUB> GROUP

ZENG GAO-JIAN

近期发现有不法分子冒充我刊与作者联系，借此进行欺诈等不法行为，请广大作者加以鉴别，如遇诈骗行为，请第一时间与我刊编辑部联系确认（《中国物理C》（英文）编辑部电话：010-88235947,010-88236950），并作报警处理。

本刊再次郑重声明：

（1）本刊官方网址为cpc.ihep.ac.cn和https://iopscience.iop.org/journal/1674-1137

（2）本刊采编系统作者中心是投稿的唯一路径，该系统为ScholarOne远程稿件采编系统，仅在本刊投稿网网址（https://mc03.manuscriptcentral.com/cpc）设有登录入口。本刊不接受其他方式的投稿，如打印稿投稿、E-mail信箱投稿等，若以此种方式接收投稿均为假冒。

（3）所有投稿均需经过严格的同行评议、编辑加工后方可发表，本刊不存在所谓的“编辑部内部征稿”。如果有人以“编辑部内部人员”名义帮助作者发稿，并收取发表费用，均为假冒。

《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 1981, Vol. 5> Issue(1) : 82-91

THE IRREDUCIBLE REPRESENTATIONS AND THEIR OCCUPATION NUMBER IN DIRECT MULTIPLICATION OF IRREDUCIBLE REPRESENTATIONS OF SU₃ GROUP

ZENG GAO-JIAN

Hunan Teacher's College

Abstract
HTML
Reference
Related

PDF

Abstract：
In this paper, the C-G series of SU₃ group is studied using Racah-Speier theorem. A general formula which can be used to calculate irreducible representations and their occupation number in C-G series of SU₃ group is derived. The general formula is very straight forward and effective for actual calculation One can apply the formula to analyse the distribution rule of occupation number in C-G series of SU₃ group and to define the null space of Winger operator of SU₃ group, the latter is important to the calculation of Wigner coefficients when there is a multiplicity.

References

[1]

B. E. Behrends, J. Dreitlein, C. Fronedal and W. Lee, Rev. Mod. Phys., 34 (1962), 1.[2] J. J. De.swart, Rev. Mod. Phys., 35 (1963), 916.[3] J. D. Louck, Ame. J. Phys., 38 (1970), 3.[4] A. J. Macfarlance, L. O'Raifeartaige and P. S. Rao, J. Math. Phys., 8 (1967), 536.[5] L. C. Biedonharn and J. D. Louck, J. Math. Phys., 13 (1970), 1985.

[1]	ZHOU Qi-Hua , MA Bo-Qiang . Research of SU(3) 27-plet. Chinese Physics C, 2007, 31(1): 1-6.
[2]	YU Guo-Wei , FANG Shuang-Shi , LI Wei-Guo , WU Ning . SU(3) Flavor Symmetry Breaking in J/ψ →baryon-antibaryon. Chinese Physics C, 2006, 30(7): 599-602.
[3]	J.P.Draayer¹ , G.Popa² , J.G.Hirsch³ , C.E.Vargas³ , 4 . E2 & M1 Strengths in Deformed Nuclei:Application of the Pseudo-SU(3) Model. Chinese Physics C, 2004, 28(12): 1297-1301.
[4]	YU You-Wen , ZHANG Zong-Ye , LI Qiang-Bing . ΩN Bound State in SU(3) Quark Model. Chinese Physics C, 2002, 26(10): 1041-1045.
[5]	Chen Fengzhi , Wang Ping . SU(3)_L×U(1)_X Model and a New Candidate for Dark Matter. Chinese Physics C, 1999, 23(11): 1062-1065.
[6]	Zhang Zongye , Yu Youwen , Dai Lianrong . Quark-Chiral Field interaction in SU(3) Model. Chinese Physics C, 1996, 20(4): 363-368.
[7]	HOU Yunzhi , GAO Lixin . SU(3)_f Predictions for Nonleptonic Decays of Charmless B-Flavoured Baryons. Chinese Physics C, 1993, 17(12): 1091-1101.
[8]	YU Zu-Rong . Irreducible Representations and Wigner Coefficients of Quantum Algebra SL_q(3). Chinese Physics C, 1992, 16(9): 832-839.
[9]	LI Guang-Hua , SUN Hong-Zhou , HAN Qi-Zhi , LI Xian-Yin . The Strong Coupling SU(3) Limit in IBM4. Chinese Physics C, 1991, 15(8): 742-747.
[10]	PAN Feng . Vector Coherent State Representations of SU₃ in U₁ U₁ Basis. Chinese Physics C, 1991, 15(1): 80-86.
[11]	Zheng Xite , Xu Yong . Analytic Study of SU(3) Lattice Gauge Theory. Chinese Physics C, 1989, 13(S3): 249-252.
[12]	CHEN Qi-Zhou , LIU Jin-Ming , XUE Xun , ZHENG Wei-Hong , GUO Shuo-Hong . THE MEAN-PLAQUETTE INTERNAL ENERGY FOR SU(3) GAUGE THEORY IN CUMULANT EXPANSION. Chinese Physics C, 1989, 13(10): 900-906.
[13]	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.
[14]	CHEN Shi-Hao . ELECTRO-WEAK UNIFIED THEORY——A MODEL IN SU(3)×U(1). Chinese Physics C, 1985, 9(6): 679-686.
[15]	ZHANG QI-REN , XIE SHU-QIN . BARYONIUM AND THE HIGH DIMENSIONAL REPRESENTATIONS OF SU(3). Chinese Physics C, 1982, 6(6): 732-736.
[16]	GUO SHUO-HONG , CHEN QI-ZHOU , GUAN HONG . ON THE SU(3) INSTANTONS WITH TOPOLOGICAL CHARGE 4. Chinese Physics C, 1981, 5(6): 682-686.
[17]	HAN QI-ZHI , SONG XING-CHANG , LI GEN-DAO , SUN HONG-ZHOU . IRREDUCIBLE REPRESENTATIONS OF THE GRADED LIE ALGEBRA SU(m/n). Chinese Physics C, 1981, 5(5): 546-553.
[18]	ZENG GAO-JIAN . THE ACTION OF WIGNER OPERATOR OF SU₃ GROUP. Chinese Physics C, 1981, 5(2): 217-226.
[19]	Zhou Guang-zhao , Gao Chong-shou . UNIFIED ELECTRO-WEAK MODEL IN SU (3). Chinese Physics C, 1980, 4(5): 609-622.
[20]	DONG FANG-XIAO , DU DONG-SHENG . SU_4×SU'₃MODEL AND γ-NEW PARTICLES. Chinese Physics C, 1979, 3(6): 788-790.

Access

Get Citation

ZENG GAO-JIAN. THE IRREDUCIBLE REPRESENTATIONS AND THEIR OCCUPATION NUMBER IN DIRECT MULTIPLICATION OF IRREDUCIBLE REPRESENTATIONS OF SU₃ GROUP[J]. Chinese Physics C, 1981, 5(1): 82-91.

ZENG GAO-JIAN. THE IRREDUCIBLE REPRESENTATIONS AND THEIR OCCUPATION NUMBER IN DIRECT MULTIPLICATION OF IRREDUCIBLE REPRESENTATIONS OF SU₃ GROUP[J]. Chinese Physics C, 1981, 5(1): 82-91. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1978-06-27
Revised: 1900-01-01

Article Metric

Article Views(1686)
PDF Downloads(249)
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, [email protected]

1.
沈阳化工大学材料科学与工程学院沈阳 110142

THE IRREDUCIBLE REPRESENTATIONS AND THEIR OCCUPATION NUMBER IN DIRECT MULTIPLICATION OF IRREDUCIBLE REPRESENTATIONS OF SU₃ GROUP

ZENG GAO-JIAN

Hunan Teacher's College

Received Date: 1978-06-27
Accepted Date: 1900-01-01
Available Online: 1981-05-05

Abstract: In this paper, the C-G series of SU₃ group is studied using Racah-Speier theorem. A general formula which can be used to calculate irreducible representations and their occupation number in C-G series of SU₃ group is derived. The general formula is very straight forward and effective for actual calculation One can apply the formula to analyse the distribution rule of occupation number in C-G series of SU₃ group and to define the null space of Winger operator of SU₃ group, the latter is important to the calculation of Wigner coefficients when there is a multiplicity.

HTML

Reference (1)

Link: IOPScience; SCOAP³; arXiv; Chinese Physical Society

Journal information: Introduction; Editorial Board; Others; Subscribe

Contact us: QQ: 1307685413; Tel: +86-010-88235947; Fax: +86-010-88233126; E-mail: [email protected]

CPC Website
IOP Website
CPC WeChat

Supported by: Beijing Renhe Information Technology Co. Ltd E-mail: [email protected]

DownLoad: Full-Size Img PowerPoint

Return

THE IRREDUCIBLE REPRESENTATIONS AND THEIR OCCUPATION NUMBER IN DIRECT MULTIPLICATION OF IRREDUCIBLE REPRESENTATIONS OF SU₃ GROUP

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, [email protected]

Email This Article

THE IRREDUCIBLE REPRESENTATIONS AND THEIR OCCUPATION NUMBER IN DIRECT MULTIPLICATION OF IRREDUCIBLE REPRESENTATIONS OF SU₃ GROUP

HTML

目录

THE IRREDUCIBLE REPRESENTATIONS AND THEIR OCCUPATION NUMBER IN DIRECT MULTIPLICATION OF IRREDUCIBLE REPRESENTATIONS OF SU3 GROUP

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, [email protected]

Email This Article

THE IRREDUCIBLE REPRESENTATIONS AND THEIR OCCUPATION NUMBER IN DIRECT MULTIPLICATION OF IRREDUCIBLE REPRESENTATIONS OF SU3 GROUP

HTML

目录

THE IRREDUCIBLE REPRESENTATIONS AND THEIR OCCUPATION NUMBER IN DIRECT MULTIPLICATION OF IRREDUCIBLE REPRESENTATIONS OF SU₃ GROUP

THE IRREDUCIBLE REPRESENTATIONS AND THEIR OCCUPATION NUMBER IN DIRECT MULTIPLICATION OF IRREDUCIBLE REPRESENTATIONS OF SU₃ GROUP