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

Wang Jiajun; Sun Hongzhou

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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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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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沈阳化工大学材料科学与工程学院沈阳 110142

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.