SOLUTION OF ELLIOTT SU(3) MODEL IN CONTINUOUS VARIABLE REPRESENTION

CAO Jian-Min; WANG Shun-Jin

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> 1988, Vol. 12> Issue(4) : 557-567

SOLUTION OF ELLIOTT SU(3) MODEL IN CONTINUOUS VARIABLE REPRESENTION

CAO Jian-Min ^, ,
WANG Shun-Jin

Lanzhou University

Abstract
HTML
Reference
Related

PDF

Abstract：
A new continuous variable representation of the Elliott SU(3) model is given.Based on this representation,a novel approach——the extreme state eigen equation approach is proposed,by which all irreducible representation bases of SU(3) in canonical group chain have been obtained.By virtue of projection operation.the Elliott SU(3) irreducible bases are given.The physics and geometric meaning of this representation is discussed.

References

[1]

J. P.Elliott, Symmetry in Physics (The Macmi113n Press Ltd, 1979).[2] B. G. Wybourne, Classical Groups for Physics (John Wiley, 1974).[3] Howard Georgi, Lie Algebras in Particle Physics (Benjamin, 1982).[4] M. Moshinsky, Group Theory and the Many-Body Problem (Gordon and Breach, 1968).[5] J. P. Elliott, Proc. Roy. Soc., 245(1958), 128, 567; 272(1963), 557.[6] Cheng, Li, Wu,-Da Hauan Feng,Phys. Lett., 168B(1986), 313.[7] Rowe, J. Phys,A. Matb. and, Gen,19(1986),1093.[8] 王顺金，曹建民、徐躬祸，高能物理与核物理，11(1987), 111.[9] 徐躬耦、王顺金、杨亚天，动力学群表示论的生成坐标途径,(特发表).[10] T. J. Nelson, J. Math. Phyt., B(1957)61L7.[11] 陈金全，群表示论的新途径，上海科学技术出版社，(1984), p. 216.[12] M. Beg and M. Rashid, J. Math. Phys., 6(1955), 577.[13] D. Akyeampong and M. Rashid, J. Math. Phys., 18(1972), 1216.[14] M. Harvey, in 'Advances isr Nuclear Physics, Vol. 1, 1959.

[1]	HUANG Fei , ZHANG Zong-Ye , YU You-Wen . Chiral SU(3) Quark Model Study of Low-energy Nπ Scattering Phase Shifts. Chinese Physics C, 2005, 29(10): 948-953.
[2]	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.
[3]	ZHANG Miao-Jing , SHEN Peng-Nian , LIU Xian-Hui , KONG Fan-Xin . Study about Light Hypernuclei and YN Interaction Based on Chiral SU(3) Quark Model. Chinese Physics C, 2001, 25(8): 743-753.
[4]	CHEN FengZhi , WANG Ping . An SU (3)_L×U(1)_X Electroweak Model. Chinese Physics C, 2000, 24(11): 985-990.
[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]	Yu Youwen , Zhang Zongye , Yuan Xiuqing . Study of Six Quark Cluster States in Chiral SU(3) Quark Model. Chinese Physics C, 1999, 23(9): 859-864.
[7]	Zhang Zongye , Yu Youwen , Dai Lianrong . Quark-Chiral Field interaction in SU(3) Model. Chinese Physics C, 1996, 20(4): 363-368.
[8]	DI Yao-Min , HA Yi-Ming , FU De-Ji , XU Gong-Ou . The Solution of Dynamical Equation of Motion of IBM-Ⅱ in Continuous Variable Representation. Chinese Physics C, 1993, 17(6): 559-567.
[9]	LIANG Shi-Dong , FU De-Ji , XU Gong-Ou . Comparison Between IBM and BMM;the Continuous Variables Representation Under the low Excitation Approximation. Chinese Physics C, 1992, 16(3): 256-265.
[10]	DI Yao-Min , HA Yi-Ming , FU De-Ji . The Effective Hamiltonian With Continuous Variables Representation in IBM-Ⅱ. Chinese Physics C, 1992, 16(9): 849-856.
[11]	DAI Zi-Gao , FU De-Ji , LIANG Shi-Dong , XU Gong-Ou . The Solution of the Interacting SPD Boson Model with Continuous Variables Representation on Giant Dipole Resonances. Chinese Physics C, 1991, 15(6): 569-576.
[12]	CHEN Tian-Lun , SUO Cun-Chuan , HUANG Wu-Qun . β FUNCTION FOR SU(3)×SU(3) CHIRAL MODEL ON 2-DIMENSIONAL RANDOM TRIANGLE LATTICE. Chinese Physics C, 1990, 14(8): 700-703.
[13]	WANG Shun-Jin , CAO Jian-Min , XU Gong-Ou . CONTINUOUS VARIABLE REPRESENTATION OF ELLIOTT SU(3) MODEL. Chinese Physics C, 1987, 11(1): 111-119.
[14]	HE Xiang-Hao , Xian Ding-Chang . VARIATIONAL ANALYSIS OF THE PHASE STRUCTURE OF THE SU(3) LATTICE GAUGE THEORY WITH A MIXED FUNDAMENTAL-ADJOINT ACTION. Chinese Physics C, 1985, 9(1): 120-124.
[15]	CHEN Shi-Hao . ELECTRO-WEAK UNIFIED THEORY——A MODEL IN SU(3)×U(1). Chinese Physics C, 1985, 9(6): 679-686.
[16]	KUANG YU-PING , . SU(3) LEPTON MODEL AND THE DYNAMICAL GENERATION OF LEPTON MASS DIFFERENCES. Chinese Physics C, 1981, 5(1): 72-81.
[17]	Zhou Guang-zhao , Gao Chong-shou . UNIFIED ELECTRO-WEAK MODEL IN SU (3). Chinese Physics C, 1980, 4(5): 609-622.
[18]	DONG FANG-XIAO , DU DONG-SHENG . SU_4×SU'₃MODEL AND γ-NEW PARTICLES. Chinese Physics C, 1979, 3(6): 788-790.
[19]	GAO CHUNG-SHOU . SU（4）×S₃^{^α} SCHEME OF STRATON MODEL AND THE NEWLY DISCOVERED HEAVY PARTICLE γ（9.5）. Chinese Physics C, 1978, 2(5): 394-402.
[20]	ELEMENTARY PARTICLE THEORY GROUP , DEPARTMENT OF PHYSICS , PEKING UNIVERSITY . AN SU（4）×S₃^a SCHEME OF THE STRATON MODEL. Chinese Physics C, 1978, 2(1): 1-9.

Access

Get Citation

CAO Jian-Min and WANG Shun-Jin. SOLUTION OF ELLIOTT SU(3) MODEL IN CONTINUOUS VARIABLE REPRESENTION[J]. Chinese Physics C, 1988, 12(4): 557-567.

CAO Jian-Min and WANG Shun-Jin. SOLUTION OF ELLIOTT SU(3) MODEL IN CONTINUOUS VARIABLE REPRESENTION[J]. Chinese Physics C, 1988, 12(4): 557-567. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(3824)
PDF Downloads(379)
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

SOLUTION OF ELLIOTT SU(3) MODEL IN CONTINUOUS VARIABLE REPRESENTION

CAO Jian-Min ^,
WANG Shun-Jin

Corresponding author: CAO Jian-Min,

Lanzhou University

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1988-08-05

Abstract: A new continuous variable representation of the Elliott SU(3) model is given.Based on this representation,a novel approach——the extreme state eigen equation approach is proposed,by which all irreducible representation bases of SU(3) in canonical group chain have been obtained.By virtue of projection operation.the Elliott SU(3) irreducible bases are given.The physics and geometric meaning of this representation is discussed.