Branching Rules for U(N) SP(N) O(3)

Wang Jiajun; Sun Hongzhou

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《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 1994, Vol. 18> Issue(3) : 269-276

Branching Rules for U(N) SP(N) O(3)

Wang Jiajun ^, ,
Sun Hongzhou

Department of Phytics, Pekin, University, Beijing 1008712 Department of Paysics, Tsinghua University, Baijing 1000843 Institute of Theoretical Physics,Academia Sinica,Beijing,100080

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Abstract：
The branching rules for group chain U(N)SP(N)O(3) of the irreducible representations [2a1b] of U(N) are discussed in some detail. Simple analytical recurrent formulae of these branching rules for above group chain are obtained. They are very efficient to simplify the calculations of Fractional Parentage Coefficients. This method can be used to find the branching rules for the group cLam U(N)O(N)O(3) too.

References

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R.C.King,J.Phys.A:Math.Gen.,8（1975）429.[2]G.R.E.Black,R.C.King and B.G.Wybourne,J.Phys.A:Math.Gen,16（1983）1555.[3]F.Gingras and J.Patera,J.Math.phys.,33（1992）1618.[4]W.G.Mckay,J.Patera,Tables of Dimensions,Indices,and Branching Rules for Representations of Simple Lie Algebras,New York（1981）.[5]M.R.Bremner,R.V.Moody and J.Patera,Tables of Dominat Weight Multiplicities for Representations of Simple Lie Algbras,Drekker,NewYork（1985）.[6]H.z.Sun et al.,Commun,Theor.Phys.,20（1993）329.[7]H.Z.Sun et al,Commun.Theor.Phys.,11（1989）442.[8]D.Zwart,GENESIS code.[9]M.Hamermash,Group Theory,Addison-wesloy,London（1962）.[10]王稼军、孙洪洲，高能物理与核物理，14（1990）842.[11]韩其智、孙洪洲，群论，北京大学出版社（1985）.

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Wang Jiajun and Sun Hongzhou. Branching Rules for U(N) SP(N) O(3)[J]. Chinese Physics C, 1994, 18(3): 269-276.

Wang Jiajun and Sun Hongzhou. Branching Rules for U(N) SP(N) O(3)[J]. Chinese Physics C, 1994, 18(3): 269-276. shu

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

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Branching Rules for U(N) SP(N) O(3)

Wang Jiajun ^,
Sun Hongzhou

Corresponding author: Wang Jiajun,

Department of Phytics, Pekin, University, Beijing 1008712 Department of Paysics, Tsinghua University, Baijing 1000843 Institute of Theoretical Physics,Academia Sinica,Beijing,100080

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1994-03-05

Abstract: The branching rules for group chain U(N)SP(N)O(3) of the irreducible representations [2a1b] of U(N) are discussed in some detail. Simple analytical recurrent formulae of these branching rules for above group chain are obtained. They are very efficient to simplify the calculations of Fractional Parentage Coefficients. This method can be used to find the branching rules for the group cLam U(N)O(N)O(3) too.