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

Wang Jiajun; Sun Hongzhou

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

Abstract
HTML
Reference
Related

PDF

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

[1]

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）.

Access

Get Citation

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

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(3284)
PDF Downloads(577)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142