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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

  •  Hunan Teacher's College

  • 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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  • References

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

  • 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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