SU(mn)<IMG style="WIDTH: 9px; HEIGHT: 8px" height=19 src="http://hepnp.ihep.ac.cn/qikan/manage/ewebeditor/UploadFile/2011616151514814.jpg" width=25 border=0>SU(m)×SU(n) SINGLE-PARTICLE COEFFICIENTS OF FRACTIONAL PARENTAGE

CHEN Jin-Quan

Chinese Physics C> 1983, Vol. 7> Issue(4) : 443-453

SU(mn)SU(m)×SU(n) SINGLE-PARTICLE COEFFICIENTS OF FRACTIONAL PARENTAGE

CHEN Jin-Quan ^, ,

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Abstract：
Utilizing the Clebsch-Gordan coefficients of the permutation groups, the SU(mn)SU(m)×SU(n) single-particle coefficients of fractional parentage for up to five particles are calculated and tabulated for arbitrary m and n.

References

[1]

H. A. Jahn and H. Van Wieringen, Proc. Roy. Soc. (London).A209(1951), 502.[2] S. I. So and D. Strottman, J. Math. Phys., 20(1379), 153[3] D. Strottman, J. Math Phys., 20(1979), 1643.[4] D. Strottman, Phys Rev., D20(1979), 748.[5] M. Harvey, Nucl. Phys., A352(1981), 301.[6] M. Harvey, Nucl. Phys., A352(1981), 326.[7] 张宗烨, 厉光烈, 高能物理与核物理26(1977), 467.[8] R. H. Dalitz and A. Gal. Ann. Phys., 13(1981). 314.[9] J. Q. Chen, J. Math. Phys., 22(1981), 1.[10] 陈金全, 高美娟, 置换群约化系数及其应用, 科学出版社, 1981.[11] J. Q. Chen.Y.J. Shi, D H. Feng and M. Vallieres, Nucl Phys., A393(1983), 122.[12] 陈金全, 群表示论的新途径, 上海科技出版社, 1983(在印刷中)。[13] J. Q. Chen, X. G. Chen and M. J. Gao, J. Phys, A: Math. Gen., 16(1983)., L47.[14] K. P. Bickerstaff, P. H. Butler, M. B. Butts. R. W. Haase and M. F. Reid, J. Phys, A: Math. Gen., 15(1982), 1087.

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CHEN Jin-Quan and SU(mn)

SU(m)×SU(n) SINGLE-PARTICLE COEFFICIENTS OF FRACTIONAL PARENTAGE[J]. Chinese Physics C, 1983, 7(4): 443-453.

CHEN Jin-Quan and SU(mn)

SU(m)×SU(n) SINGLE-PARTICLE COEFFICIENTS OF FRACTIONAL PARENTAGE[J]. Chinese Physics C, 1983, 7(4): 443-453. 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

SU(mn)SU(m)×SU(n) SINGLE-PARTICLE COEFFICIENTS OF FRACTIONAL PARENTAGE

CHEN Jin-Quan ^,

Corresponding author: CHEN Jin-Quan,

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1983-08-05

Abstract: Utilizing the Clebsch-Gordan coefficients of the permutation groups, the SU(mn)SU(m)×SU(n) single-particle coefficients of fractional parentage for up to five particles are calculated and tabulated for arbitrary m and n.