Recoupling Matrix of Volume Operator Action on Vertex

SHAO Dan; SHAO Liang; SHAO Chang-Gui; CHEN Yi-Han

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> 2004, Vol. 28> Issue(3) : 254-257

Recoupling Matrix of Volume Operator Action on Vertex

Department of Mathematical Sciences,Ibaraki University,Mito 310-8512,Japan2 Institute of Theoretical Physics,Hubei University,Wuhan 430062,China

Abstract
HTML
Reference
Related

PDF

Abstract：
We study the action of volume operator on spin network states with n-valent vertices. In particular, the recoupling matrices are re-derived by means of a graphic formulation.

References

[1]

.Penrose R.In: Quantum Theory and beyond,ed EA Bastin,CambridgeUniversity Press.19712.Rovel i C,Smolin L.Nucl.Phys.,1995,B442: 5933.Ashtekar A.Lectures on:Non-pertubative Canonical Gravity.LectureNodes Prepared in Collaboration with R.S.Tat e.Singapore:World Scientific,19914.Ezawa K.Phys.Rep.,1997,286:2715.Rovelli C.J.Math.Phys.,2000,141(6):37766.Gambini R.Int.J.Theor.Phys.,1999,(4):10637.Piet ri R D,Rovelli C.Phys.Rev.,1996,D54:2664

[1]	An Nan , YANG Xin-E . Calculation and Generalization of Non-Adiabatic Geometric Phase of Isotonic Oscillator with Operator Decomposition. Chinese Physics C, 2005, 29(4): 350-353.
[2]	DUAN HuaiYu , LIU JuePing . Calculation of Anomalous Dimension of Three-Gluon Tensor Operators. Chinese Physics C, 2000, 24(7): 642-648.
[3]	ZHANG PengFei , RUAN TuNan . Spin Operator for the Relativistic Particle. Chinese Physics C, 2000, 24(6): 585-588.
[4]	ZHANG PengFei , RUAN TuNan . Spin Operators in the Quantum Field Theory. Chinese Physics C, 2000, 24(8): 775-779.
[5]	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.
[6]	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.
[7]	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.
[8]	Wei Lianfu , Wang Shunjin , Jie Quanlin . q-Analogue Boson Inverse Operators and Their Application. Chinese Physics C, 1997, 21(11): 1031-1034.
[9]	Wang Jisuo , Sun Changyong , He Jinyu . Eigenstates of the Higher Power of the Annihilation Operator ofTwo-Parameter Deformed Harmonic Oscillator. Chinese Physics C, 1996, 20(8): 703-706.
[10]	Xie Mi , Jin Baiqi , Ma Zhongqi . L^± Operators and Quantum Enveloping Algebras. Chinese Physics C, 1996, 20(7): 617-624.
[11]	LI Chong-Sheng , HU Bing-Quan . The Neutron Electric Dipole Moment and the Weinberg's Operator. Chinese Physics C, 1992, 16(10): 900-911.
[12]	CHEN Xue-Jun . EXPRESSIONS OF FERMION OPERATORS IN THE INTERACTING BOSON-FERMION MODELS. Chinese Physics C, 1990, 14(2): 160-163.
[13]	HU Hong-Liang , YU Yue , XIONG Chuan-Sheng . VERTEX OPERATORS AND DIFFERENT STRING INTERACTING PICTURES. Chinese Physics C, 1988, 12(6): 766-772.
[14]	XU Fu-Xin , CUI Ke-Fan . TRACELESS OPERATORS AND SO₆ WAVE FUNCTIONS OF sd BOSONS. Chinese Physics C, 1986, 10(3): 343-348.
[15]	FAN Hong-Yi . COMMUTATIVE PROPERTIES OF OPERATORS IN SCHWINGER BOSON PEPRESENTATION. Chinese Physics C, 1986, 10(3): 380-384.
[16]	WU Hua-Chuan . THE QUADRUPOLE OPERATOR IN s-d-g MODEL AND THE SPECTRUM OF DEFORMED NUCLEI. Chinese Physics C, 1986, 10(6): 715-719.
[17]	FAN Hong-Yi , RUAN Tu-Nan . SOME APPLICATIONS OF COHERENT STATE FORMULATION OF THE WIGNER OPERATOR. Chinese Physics C, 1985, 9(1): 19-33.
[18]	WU Hua-Chuan . A STUDY OF E2 OPERATOR IN U(15) MODEL FOR DEFORMED NUCLEI. Chinese Physics C, 1985, 9(2): 229-235.
[19]	ZENG GAO-JIAN . THE ACTION OF WIGNER OPERATOR OF SU₃ GROUP. Chinese Physics C, 1981, 5(2): 217-226.
[20]	LI ZI-PING . APPROXIMATE SEQUENCE FOR U（t,t₀）-OPERATOR. Chinese Physics C, 1979, 3(4): 511-517.

Access

Get Citation

SHAO Dan, SHAO Liang, SHAO Chang-Gui and CHEN Yi-Han. Recoupling Matrix of Volume Operator Action on Vertex[J]. Chinese Physics C, 2004, 28(3): 254-257.

SHAO Dan, SHAO Liang, SHAO Chang-Gui and CHEN Yi-Han. Recoupling Matrix of Volume Operator Action on Vertex[J]. Chinese Physics C, 2004, 28(3): 254-257. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2003-05-01
Revised: 1900-01-01

Article Metric

Article Views(3175)
PDF Downloads(582)
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

Recoupling Matrix of Volume Operator Action on Vertex

Corresponding author: SHAO Dan,

Department of Mathematical Sciences,Ibaraki University,Mito 310-8512,Japan2 Institute of Theoretical Physics,Hubei University,Wuhan 430062,China

Received Date: 2003-05-01
Accepted Date: 1900-01-01
Available Online: 2004-03-05

Abstract: We study the action of volume operator on spin network states with n-valent vertices. In particular, the recoupling matrices are re-derived by means of a graphic formulation.