BRANCHING FORMULAS FOR <EM>SO</EM>(n)<IMG style="WIDTH: 14px; HEIGHT: 12px" height=19 src="http://hepnp.ihep.ac.cn/qikan/manage/ewebeditor/UploadFile/2011811115656568.jpg" width=25 border=0> <EM>SO</EM>(n－1) TENSOR AND SPINOR REPRESENTATIONS

WU Hua

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> 1986, Vol. 10> Issue(1) : 75-81

BRANCHING FORMULAS FOR SO(n) SO(n－1) TENSOR AND SPINOR REPRESENTATIONS

WU Hua ^,

Suzhou University

Abstract
HTML
Reference
Related

PDF

Abstract：
Branching formulas for SO(n) SO(n－1) tensor representations are given from the branching rules for SO(n) SO(n－1) which described in F.D.Murnaghan's. Furthermore, these formulas are extended to the spinor representations by using the method of kronecker products. In this way a pair of complete branching formulas for SO(n) SO(n－1) is give in this paper.

References

[1]	F. D. Murnaghan, Theory of Group Representations,(Johns Hopkins Press, Baltimore 1938).[2] I. M. Gel'fand et al., Representations of the Rotation and Lotentz Groups and Their Applicadons, (Pargamon Press 1963) p353-564.[3] Mark Fischler, J. Math. Phys.,22(1981), 637.

[1]	Qing-Hong Cao , Hao-Lin Li , Ling-Xiao Xu , Jiang-Hao Yu . What can we learn from the total width of the Higgs boson?. Chinese Physics C, 2023, 47(3): 033101. doi: 10.1088/1674-1137/aca8f6
[2]	Zuoheng Zou , Yu Meng , Chuan Liu . Lattice calculation of χ_c0 → 2γ decay width. Chinese Physics C, 2022, 46(5): 053102. doi: 10.1088/1674-1137/ac4bcc
[3]	V. Yu. Denisov;O. A. Belyanovska;V. P. Khomenkov;I. Yu. Sedykh;K. M. Sukhyy . A simple description of the temperature dependence of the width of the fission-fragment mass yield in $\bf^{197}$Au and $\bf^{209}$Bi at intermediate energies. Chinese Physics C, 2019, df87c41e-622f-49a7-b081-5c584df157aa(11): 14101-.
[4]	Wen Chen;Feng Feng;Yu Jia;Wen-Long Sang . Mixed electroweak-QCD corrections to ${e^+e^-\to \mu^+\mu^- H}$ at CEPC with finite-width effect. Chinese Physics C, 2019, df87c41e-622f-49a7-b081-5c584df157aa(11): 13108-.
[5]	Fu-Yue Wang , Yi Wang , Bo Xie , Dong Han , Peng-Fei Lü , Bao-Hong Guo , Yuan-Jing Li . Performance study of new style mosaic MRPC. Chinese Physics C, 2016, 40(11): 116006. doi: 10.1088/1674-1137/40/11/116006
[6]	Ying Chen , Wei-Feng Chiu , Ming Gong , Long-Cheng Gui , Zhao-Feng Liu . Exotic vector charmonium and its leptonic decay width. Chinese Physics C, 2016, 40(8): 081002. doi: 10.1088/1674-1137/40/8/081002
[7]	CHENG Dao-Wen , LU Jing-Bin , YANG Dong , LIU Yu-Min , WANG Hui-Dong , MA Ke-Yan . Designing of the 14 MeV neutron moderator for BNCT. Chinese Physics C, 2012, 36(9): 905-908. doi: 10.1088/1674-1137/36/9/020
[8]	DAI Jing , LU Xiang-Yang , QUAN Sheng-Wen , ZHANG Bao-Cheng , LIN Lin , HAO Jian-Kui , ZHU Feng , XU Wen-Can , HE Fei-Si , JIN Song , WANG Fang , LIU Ke-Xin , ZHAO Kui . Cold RF test and associated mechanical features correlation of a TESLA-style 9-cell superconducting niobium cavity built in China. Chinese Physics C, 2012, 36(2): 156-159. doi: 10.1088/1674-1137/36/2/010
[9]	A. G. Shamov (KEDR collaboration) . Measurement of J/ψ leptonic width with the KEDR detector. Chinese Physics C, 2010, 34(6): 836-841. doi: 10.1088/1674-1137/34/6/036
[10]	LI Xiu-Rong , YUAN Chang-Zheng . Study of K^*(892) mass and width splitting caused by model difference. Chinese Physics C, 2009, 33(5): 321-326. doi: 10.1088/1674-1137/33/5/001
[11]	LIU Zu-Hua . Neutron Halo of the Excited States in ¹⁴C. Chinese Physics C, 2003, 27(2): 135-137.
[12]	PENG Hong-An , YAN Zhan-Yuan , DUAN Chun-Gui . Two Photon Width of η_c. Chinese Physics C, 2003, 27(9): 754-758.
[13]	BES Collaboration . Measurement of the Branching Ratios of τ^±→π^±+nπ⁰+ν_τ(n=0,1,2) decays. Chinese Physics C, 1997, 21(3): 193-200.
[14]	BES Collaboration . Determination of the Total Width of P-wave Charmonium State χ_c0. Chinese Physics C, 1996, 20(12): 1057-1067.
[15]	LIU Guo-Xing , ZHENG Ji-Wen , CHEN Ke-Liang , WANG Su-Fang , BAI Xing-Ping , YU Xian . MEASUREMENT OF FISSION-FRAGMENT ANGULAR DISTRIBUTIONS AND EXCITATION FUNCTIONS FOR THE ¹²C+²⁰⁹Bi AND ¹⁴N+Pb REACTIONS. Chinese Physics C, 1990, 14(9): 829-834.
[16]	LI Chun-Xian , WANG Zheng-Zhi . THE STUDY OF KNO SCALING IN THE pp COLLISION √<SPAN style=. Chinese Physics C, 1986, 10(4): 427-433.
[17]	WU Zhong-Li , WANG Qi , ZHU Yong-Tai , SUN Shu-Ming , YIN Xu , LI Song-Ling , FAN Guo-Ying , MIAO He-Bing , WANG Xiao-Ming . DIFFERENCE OF THE ISOTOPE DISTRIBUTION OF DIC PROKUCTS BETWEEN ¹⁴N+⁵⁸Ni AND ¹⁴N+⁶⁴Ni REACTIONS. Chinese Physics C, 1985, 9(6): 758-759.
[18]	WANG BAO-AN , FENG JIA-ZHEN , LIU ZHAO-YUAN , YANG HUA-ZHONG , YAO LI-SHAN . THE MECHANISM OF THE REACTION ¹⁴¹pr(n,α)¹³⁸La AT En=14 MeV. Chinese Physics C, 1981, 5(5): 636-640.
[19]	MA ZHONG-QI , DU DONG-SHENG , XUE PEI-YOU , ZHOU XIAN-JIAN . GENERATION PROBLEM AND SO(14) GRAND UNIFIED THEORIES. Chinese Physics C, 1981, 5(6): 664-681.
[20]	SUN CHI-CHANG , HE YI SHEN , JIU-SHENG , CHEN HOU , CHEN KE-LIANG . THE MEASUREMENT OF COMPLETE FUSION CROSS-SECTIONS FOR THE REACTIONS ¹²C+²⁷Al, ¹²C+²⁰⁹Bi AND ¹⁴N+Pb. Chinese Physics C, 1978, 2(2): 151-157.

Access

Get Citation

WU Hua. BRANCHING FORMULAS FOR SO(n)

SO(n－1) TENSOR AND SPINOR REPRESENTATIONS[J]. Chinese Physics C, 1986, 10(1): 75-81.

WU Hua. BRANCHING FORMULAS FOR SO(n)

SO(n－1) TENSOR AND SPINOR REPRESENTATIONS[J]. Chinese Physics C, 1986, 10(1): 75-81. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(2514)
PDF Downloads(423)
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

BRANCHING FORMULAS FOR SO(n) SO(n－1) TENSOR AND SPINOR REPRESENTATIONS

WU Hua ^,

Corresponding author: WU Hua,

Suzhou University

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1986-02-05

Abstract: Branching formulas for SO(n) SO(n－1) tensor representations are given from the branching rules for SO(n) SO(n－1) which described in F.D.Murnaghan's. Furthermore, these formulas are extended to the spinor representations by using the method of kronecker products. In this way a pair of complete branching formulas for SO(n) SO(n－1) is give in this paper.