SOLUTION OF ELLIOTT SU(3) MODEL IN CONTINUOUS VARIABLE REPRESENTION

CAO Jian-Min; WANG Shun-Jin

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2024年10月30日

Chinese Physics C> 1988, Vol. 12> Issue(4) : 557-567

SOLUTION OF ELLIOTT SU(3) MODEL IN CONTINUOUS VARIABLE REPRESENTION

CAO Jian-Min ^, ,
WANG Shun-Jin

Lanzhou University

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Abstract：
A new continuous variable representation of the Elliott SU(3) model is given.Based on this representation,a novel approach——the extreme state eigen equation approach is proposed,by which all irreducible representation bases of SU(3) in canonical group chain have been obtained.By virtue of projection operation.the Elliott SU(3) irreducible bases are given.The physics and geometric meaning of this representation is discussed.

References

[1]

J. P.Elliott, Symmetry in Physics (The Macmi113n Press Ltd, 1979).[2] B. G. Wybourne, Classical Groups for Physics (John Wiley, 1974).[3] Howard Georgi, Lie Algebras in Particle Physics (Benjamin, 1982).[4] M. Moshinsky, Group Theory and the Many-Body Problem (Gordon and Breach, 1968).[5] J. P. Elliott, Proc. Roy. Soc., 245(1958), 128, 567; 272(1963), 557.[6] Cheng, Li, Wu,-Da Hauan Feng,Phys. Lett., 168B(1986), 313.[7] Rowe, J. Phys,A. Matb. and, Gen,19(1986),1093.[8] 王顺金，曹建民、徐躬祸，高能物理与核物理，11(1987), 111.[9] 徐躬耦、王顺金、杨亚天，动力学群表示论的生成坐标途径,(特发表).[10] T. J. Nelson, J. Math. Phyt., B(1957)61L7.[11] 陈金全，群表示论的新途径，上海科学技术出版社，(1984), p. 216.[12] M. Beg and M. Rashid, J. Math. Phys., 6(1955), 577.[13] D. Akyeampong and M. Rashid, J. Math. Phys., 18(1972), 1216.[14] M. Harvey, in 'Advances isr Nuclear Physics, Vol. 1, 1959.

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CAO Jian-Min and WANG Shun-Jin. SOLUTION OF ELLIOTT SU(3) MODEL IN CONTINUOUS VARIABLE REPRESENTION[J]. Chinese Physics C, 1988, 12(4): 557-567.

CAO Jian-Min and WANG Shun-Jin. SOLUTION OF ELLIOTT SU(3) MODEL IN CONTINUOUS VARIABLE REPRESENTION[J]. Chinese Physics C, 1988, 12(4): 557-567. 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

SOLUTION OF ELLIOTT SU(3) MODEL IN CONTINUOUS VARIABLE REPRESENTION

CAO Jian-Min ^,
WANG Shun-Jin

Corresponding author: CAO Jian-Min,

Lanzhou University

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1988-08-05

Abstract: A new continuous variable representation of the Elliott SU(3) model is given.Based on this representation,a novel approach——the extreme state eigen equation approach is proposed,by which all irreducible representation bases of SU(3) in canonical group chain have been obtained.By virtue of projection operation.the Elliott SU(3) irreducible bases are given.The physics and geometric meaning of this representation is discussed.