RACAH-WIGNER CALCULUS FOR THE SUPER-ROTATION ALGEBRA .1.

被引：17
|
作者：
MINNAERT, P
MOZRZYMAS, M
机构：
[1] Laboratoire de Physique Théorique, Université de Bordeaux I
[2] Institute of Theoretical Physics, University of Wroclaw, 50-205 Wroclaw
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 1992年 / 33卷 / 05期
关键词：
D O I：
10.1063/1.529683
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The symmetry properties and the pseudo-orthogonality relations of the super-rotation Clebsh-Gordan coefficients for the tensor product of two irreducible representations of the super-rotation algebra are derived. The symmetric super-rotation 3-j symbol and the symmetric and invariant super-rotation 6-j symbol are defined, their basic properties are described, and their relations to the usual 3-j and 6-j symbols are given.
引用
收藏
页码：1582 / 1593
页数：12
相关论文
共 26 条
  • [1] THE SUPER-ROTATION RACAH-WIGNER CALCULUS REVISITED
    DAUMENS, M
    MINNAERT, P
    MOZRZYMAS, M
    TOSHEV, S
    JOURNAL OF MATHEMATICAL PHYSICS, 1993, 34 (06) : 2475 - 2507
  • [2] The Racah-Wigner algebra and coherent tensors
    Rowe, DJ
    Repka, J
    JOURNAL OF MATHEMATICAL PHYSICS, 1996, 37 (05) : 2498 - 2509
  • [3] Category theory formulation of the Racah-Wigner calculus
    Joyce, WP
    Butler, PH
    GROUP 22: PROCEEDINGS OF THE XII INTERNATIONAL COLLOQUIUM ON GROUP THEORETICAL METHODS IN PHYSICS, 1998, : 131 - 133
  • [4] W-INFINITY AND THE RACAH-WIGNER ALGEBRA
    POPE, CN
    SHEN, X
    ROMANS, LJ
    NUCLEAR PHYSICS B, 1990, 339 (01) : 191 - 221
  • [5] RACAH-WIGNER ALGEBRA FOR Q-DEFORMED ALGEBRAS
    LIENERT, CR
    BUTLER, PH
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1992, 25 (05): : 1223 - 1235
  • [6] ORIENTATIONS OF POINT GROUPS-PHASE CHOICES IN THE RACAH-WIGNER ALGEBRA
    REID, MF
    BUTLER, PH
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1980, 13 (09): : 2889 - 2901
  • [7] THE RACAH-WIGNER ALGEBRA IN QUANTUM-THEORY - BIEDENHARN,LC, LOUCK,JD
    EMCH, GG
    BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1984, 10 (01) : 150 - 152
  • [8] The universal Racah-Wigner symbol for Uq(osp(1|2))
    Michal Pawelkiewicz
    Volker Schomerus
    Paulina Suchanek
    Journal of High Energy Physics, 2014
  • [9] The universal Racah-Wigner symbol for Uq(osp(1|2))
    Pawelkiewicz, Michal
    Schomerus, Volker
    Suchanek, Paulina
    JOURNAL OF HIGH ENERGY PHYSICS, 2014, (04):
  • [10] Analytical complements to the parity-independent Racah-Wigner calculus for the superalgebra osp(1|2).: Part I
    Brehamet, L.
    NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS, 2006, 121 (03): : 241 - 274
123