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

ZENG GAO-JIAN

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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

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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

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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.

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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

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

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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.

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