SU(3) revisited

被引：35

作者：

Byrd, M ^{[1
]}

Sudarshan, ECG ^{[1
]}

机构：

[1] Univ Texas, Ctr Particle Phys, Austin, TX 78712 USA

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1998年 / 31卷 / 46期

关键词：

D O I：

10.1088/0305-4470/31/46/015

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The 'D' matrices for all states of the two fundamental representations and octet are given in the Euler angle parametrization of SU(3). The raising and lowering operators are given in terms of linear combinations of the left-invariant vector fields of the group manifold in this parametrization. Using these differential operators the highest weight state of an arbitrary irreducible representation is found and a description of the calculation of Clebsch-Gordon coefficients is given.

引用

页码：9255 / 9268

页数：14

共 24 条

[1] STATIC PROPERTIES OF NUCLEONS IN THE SKYRME MODEL [J].

ADKINS, GS ;

NAPPI, CR ;

WITTEN, E .

NUCLEAR PHYSICS B, 1983, 228 (03) :552-566

[2] FINITE TRANSFORMATIONS OF SU(3) [J].

AKYEAMPONG, DA ;

RASHID, MA .

JOURNAL OF MATHEMATICAL PHYSICS, 1972, 13 (08) :1218-+

[3] ON THE REPRESENTATIONS OF THE SEMISIMPLE LIE GROUPS .3. THE EXPLICIT CONJUGATION OPERATION FOR SU [J].

BAIRD, GE ;

BIEDENHARN, LC .

JOURNAL OF MATHEMATICAL PHYSICS, 1964, 5 (12) :1723-+

[4] A SET OF HARMONIC FUNCTIONS FOR GROUP SU(3) [J].

BEG, MAB ;

RUEGG, H .

JOURNAL OF MATHEMATICAL PHYSICS, 1965, 6 (05) :677-&

[5]

BIEDENHARN LC, 1977, ANGULAR MOMENTUM QUA, P62

[6]

BYRD MS, 1998, IN PRESS J MATH PHYS

[7]

BYRD MS, 1997, PHYS9708015

[8]

DATTOLI G, 1988, REV NUOVO CIMENTO, V11

[9] COLLECTIVE MOTION IN THE NUCLEAR SHELL MODEL .2. THE INTRODUCTION OF INTRINSIC WAVE-FUNCTIONS [J].

ELLIOTT, JP .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1958, 245 (1243) :562-581

[10] COLLECTIVE MOTION IN THE NUCLEAR SHELL MODEL .1. CLASSIFICATION SCHEMES FOR STATES OF MIXED CONFIGURATIONS [J].

ELLIOTT, JP .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1958, 245 (1240) :128-145

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