A RECURSIVE FORMULA FOR THE CLEBSCH-GORDAN COEFFICIENTS OF <EM>SU<SUB>n</SUB></EM> GROUP

CHEN JIN-QUAN; YU ZU-RONG; WANG FAN

Chinese Physics C> 1979, Vol. 3> Issue(2) : 216-255

A RECURSIVE FORMULA FOR THE CLEBSCH-GORDAN COEFFICIENTS OF SU_n GROUP

Abstract
HTML
Reference
Related

PDF

Abstract：
It is proved that under the Gelfand-Biedenharn phase convention any SU_n singletfactor （SF） belongs to the type of the derivable or underivable,designated as （SU_nSF）d and （SU_r SF） respectively,and （SU_n SF）d=（SU_r SF）,n=r+1,r+2,….Therefore the calculation of any SU_n Clebsch-Gordan coefficients is reduced to thecalculation of a few underivable singlet factor （SU_r SF）.

References

[1]

陈金全、王凡、高美娟，物理学报，27(1978), 31.[2] J. J. De Swart, Rev. Mod. Phys., 35 (1963), 916.[3] E. M. Haacke, J. W.Moffat and P. Savaria, J. Math Plays.,17 (1976), 2041.[4] I. M. Gelfand and M.L. Tseitlin, "Dokl. Akad Nauk. SSSR"71 (1950), 825. G. E. Baird and L.C. Biedenharn, J. Math. Phys., 5 (1964),1723.[5] 陈金全、王凡、高美娟，物理学报，26(1977), 427.[6] G. Racah, Phys Rev., 76 (1949), 1352. "Group Theory and Spectroscopy" (1951), Princeton.

Access

Get Citation

CHEN JIN-QUAN, YU ZU-RONG and WANG FAN. A RECURSIVE FORMULA FOR THE CLEBSCH-GORDAN COEFFICIENTS OF SU_n GROUP[J]. Chinese Physics C, 1979, 3(2): 216-255.

CHEN JIN-QUAN, YU ZU-RONG and WANG FAN. A RECURSIVE FORMULA FOR THE CLEBSCH-GORDAN COEFFICIENTS OF SU_n GROUP[J]. Chinese Physics C, 1979, 3(2): 216-255. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1977-11-05
Revised: 1900-01-01

Article Metric

Article Views(2932)
PDF Downloads(266)
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

A RECURSIVE FORMULA FOR THE CLEBSCH-GORDAN COEFFICIENTS OF SU_n GROUP

Received Date: 1977-11-05
Accepted Date: 1900-01-01
Available Online: 1979-04-05

Abstract: It is proved that under the Gelfand-Biedenharn phase convention any SU_n singletfactor （SF） belongs to the type of the derivable or underivable,designated as （SU_nSF）d and （SU_r SF） respectively,and （SU_n SF）d=（SU_r SF）,n=r+1,r+2,….Therefore the calculation of any SU_n Clebsch-Gordan coefficients is reduced to thecalculation of a few underivable singlet factor （SU_r SF）.