VECTOR COHERENT STATE CONSTRUCTIONS OF U(3) SYMMETRICAL TENSORS AND THEIR SU(3)-SUPERSET-OF-SU(2)XU(1) WIGNER COEFFICIENTS

被引：9

作者：

HECHT, KT ^{[1
]}

BIEDENHARN, LC ^{[1
]}

机构：

[1] DUKE UNIV,DEPT PHYS,DURHAM,NC 27706

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1990年 / 31卷 / 12期

关键词：

D O I：

10.1063/1.528981

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Generalized vector coherent state constructions of totally symmetric U(3) tensors are used to gain new expressions for the SU(3)⊃SU(2)xU(1) Wigner coefficients for the coupling (λ1μ1) x (λ20) → (λ3μ3). These expressions show how the extremely simple formulas of Le Blanc and Biedenharn, involving a single 9-j coefficient, arise as special cases of a general result that involves 12-j coefficients. A simpler general result involving only 9-j coefficients and K-normalization factors is derived in a way that can, in principle, be generalized to the generic coupling with multiplicity. © 1990 American Institute of Physics.

引用

页码：2781 / 2796

页数：16

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