POLYNOMIAL BASES OF GROUP SU<sub>3</sub> AND AN EXPLICIT EXPRESSION FOR ITS CLEBSCH-GORDAN COEFFICIENTS

HOU PEI-YU

doi:10.7498/aps.22.460

Abstract
Using the properties of the Young diagrams, we have constructed a complete set of polynomial bases for representing the SUn group. The basis of irreducible representations in the product space of two irreducible representations is then discussed. Finally by methods of construction of an invariant, an explicit expression for the Clebsch-Gordan coefficients of group SU3 is obtained.
Authors and contacts
HOU PEI-YU
References

[1]

Cited By
[1]

[1]	Lou Sen-Yue. Full reversal symmetric multiple soliton solutions for integrable systems. Acta Physica Sinica, 2020, 69(1): 010503. doi: 10.7498/aps.69.20191172
[2]	Shi Ze-Lin, Cui Sheng-Cheng, Xu Qing-Shan. Modified analytic expression for the single-scattering phase function. Acta Physica Sinica, 2017, 66(18): 180201. doi: 10.7498/aps.66.180201
[3]	Zang Hong-Yan, Chai Hong-Yu. Homogenization and entropy analysis of a quadratic polynomial chaotic system. Acta Physica Sinica, 2016, 65(3): 030504. doi: 10.7498/aps.65.030504
[4]	Fan Hong-Yi, Lou Sen-Yue, Pan Xiao-Yin, Da Cheng. Binomial theorems related to two-variable Hermite polynomials and its application in quantum optics. Acta Physica Sinica, 2014, 63(11): 110304. doi: 10.7498/aps.63.110304
[5]	Fan Hong-Yi, Lou Sen-Yue, Pan Xiao-Yin, Da Cheng. Binomial theorem involving Hermite polynomials and negative-binomial theorem involving Laguerre polynomials. Acta Physica Sinica, 2013, 62(24): 240301. doi: 10.7498/aps.62.240301
[6]	Fan Hong-Yi, Zhan De-Hui, Yu Wen-Jian, Zhou Jun. New Hermite-polynomial-operator identities and their application in quantum squeezing. Acta Physica Sinica, 2012, 61(11): 110302. doi: 10.7498/aps.61.110302
[7]	Dong Yuan, Guo Zeng-Yuan. The modification of entropy production by heat condution in non-equilibrium thermodynamics. Acta Physica Sinica, 2012, 61(3): 030507. doi: 10.7498/aps.61.030507
[8]	Chen Shi-Bi, Zeng Yi-Cheng, Xu Mao-Lin, Chen Jia-Sheng. Construction of grid multi-scroll chaotic attractors and its circuit implementation with polynomial and step function. Acta Physica Sinica, 2011, 60(2): 020507. doi: 10.7498/aps.60.020507
[9]	Ma Xiao-Guang, Sun Wei-Guo, Cheng Yan-Song. A new expression for photoionization cross sections and its application in high density system. Acta Physica Sinica, 2005, 54(3): 1149-1155. doi: 10.7498/aps.54.1149
[10]	Chen Chang-Yuan, Lu Fa-Lin, Sun Dong-Sheng, Liu Cheng-Lin. Explicit expressions and recurrence formulas of the radial average values for a kind of nonharmonic oscillator model potentials. Acta Physica Sinica, 2004, 53(4): 973-977. doi: 10.7498/aps.53.973
[11]	Guo Qi-Zhi, Tan Wei-Han, Meng Yi-Chao. Generalized Tschebyshev polynomial and its application in solving the strong cou pling waveguide equations. Acta Physica Sinica, 2003, 52(12): 3092-3097. doi: 10.7498/aps.52.3092
[12]	HOU CHUN-FENG, SUN XIU-DONG, ZHOU ZHONG-XIANG, LI YAN. GENERAL FORMULAS FOR RADIAL MATRIX ELEMENTS OF ISOTROPIC HARMONIC OSCILLATORS. Acta Physica Sinica, 1999, 48(3): 385-388. doi: 10.7498/aps.48.385
[13]	WANG RONG-YAO, LUO QI-GUANG, ZHANG XIAO. AN EXPRESSION FOR THE CRITICAL TEMPERATURE Tc OF L12 TYPE SUPERCONDUCTORS. Acta Physica Sinica, 1985, 34(9): 1191-1193. doi: 10.7498/aps.34.1191
[14]	JIANG JIAN-SHENG, LI FANG-HUA. FITTING THE ATOMIC SCATTERING FACTORS FOR ELECTRONS TO AN ANALYTICAL FORMULA. Acta Physica Sinica, 1984, 33(6): 845-849. doi: 10.7498/aps.33.845
[15]	ZHANG WAN-XIANG. GENERAL EXPRESSIONS OF THE CHARACTERISTIC FREQUENCY AND GRüNEISEN COEFFCIENT FOR SOLIDS. Acta Physica Sinica, 1984, 33(8): 1120-1128. doi: 10.7498/aps.33.1120
[16]	CHEN JIN-CHUAN, GAO MEI-JUAN, WANG FAN. PHYSICAL METHOD OF GROUP REPRESENTATION THEORY (V)——THE IRREDUCIBLE BASES OF SU(3)?SO(3) AND SU(4)?SU(2)×SU(2). Acta Physica Sinica, 1978, 27(3): 237-246. doi: 10.7498/aps.27.237
[17]	. . Acta Physica Sinica, 1965, 21(8): 1578-1580. doi: 10.7498/aps.21.1578
[18]	SUN HUNG-CHOU. STUDY OF THE SU₃ WAVE FUNCTIONS. Acta Physica Sinica, 1964, 20(6): 483-500. doi: 10.7498/aps.20.483
[19]	GAO CHONG-SHOU. EIGHTFOLD WAY AND THE CLASSIFICATION OF THE STRONGLY INTERACTING PARTICLES. Acta Physica Sinica, 1964, 20(12): 1187-1198. doi: 10.7498/aps.20.1187
[20]	. . Acta Physica Sinica, 1964, 20(11): 1172-1175. doi: 10.7498/aps.20.1172

Catalog

Vol. 22, Issue 4 - 1966-02-20

Metrics

Abstract views: 9344
PDF Downloads: 13115
Cited By: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

Search

Article

留言板

POLYNOMIAL BASES OF GROUP SU₃ AND AN EXPLICIT EXPRESSION FOR ITS CLEBSCH-GORDAN COEFFICIENTS

Abstract

Authors and contacts

References

Cited By

Catalog

Metrics

Authors

Referees

About Journal

About

Search

Article

留言板

POLYNOMIAL BASES OF GROUP SU3 AND AN EXPLICIT EXPRESSION FOR ITS CLEBSCH-GORDAN COEFFICIENTS

Abstract

Authors and contacts

References

Cited By

Catalog

Metrics

Publishing process

Authors

Referees

About Journal

About

POLYNOMIAL BASES OF GROUP SU₃ AND AN EXPLICIT EXPRESSION FOR ITS CLEBSCH-GORDAN COEFFICIENTS