FINITE TRANSFORMATIONS OF SU3

被引:43
作者
HOLLAND, DF
机构
[1] Physics Department, University of Arizona, Tucson, AZ
关键词
D O I
10.1063/1.1664872
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The properties of SU3 finite transformations are investigated. These transformations on the defining three-dimensional complex space are parameterized in a form employing three factors, two of which are the Euler parameterization of an SU2 subgroup. The irreducible representations of the factored parameterization are found explicitly. The volume element is calculated and the orthogonality relation is verified. Spherical harmonic basis states are derived as a specialization of the transformation matrix. Another result is a definition of triality and a simple proof that it is additive modulus three.
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页码:531 / &
相关论文
共 13 条
[1]  
BAIRD GC, 1964, P CORAL GABLES C SYM
[2]   ON REPRESENTATIONS OF SEMISIMPLE LIE GROUPS .2. [J].
BAIRD, GE ;
BIEDENHARN, LC .
JOURNAL OF MATHEMATICAL PHYSICS, 1963, 4 (12) :1449-&
[3]   A SET OF HARMONIC FUNCTIONS FOR GROUP SU(3) [J].
BEG, MAB ;
RUEGG, H .
JOURNAL OF MATHEMATICAL PHYSICS, 1965, 6 (05) :677-&
[4]  
CARRUTHERS PA, 1966, INTRODUCTION UNITARY
[5]   REPRESENTATIONS OF FINITE U3 TRANSFORMATIONS [J].
CHACON, E ;
MOSHINSKY, M .
PHYSICS LETTERS, 1966, 23 (10) :567-+
[6]  
DESWART JJ, 1963, REV MOD PHYS, V35, P916
[7]  
GOTTFRIED K, 1966, QUANTUM MECHANICS, V1
[8]  
HAGAN CR, 1964, J MATH PHYS, V5, P1335
[9]  
KURSUNOGLU B, 1964, P CORAL GABLES C ED
[10]   TENSOR METHODS AND A UNIFIED REPRESENTATION THEORY OF SU3 [J].
MUKUNDA, N ;
PANDIT, LK .
JOURNAL OF MATHEMATICAL PHYSICS, 1965, 6 (05) :746-&