COUPLING COEFFICIENTS AND MATRIX ELEMENTS OF ARBITRARY TENSORS IN ELLIOTT PROJECTED ANGULAR MOMENTUM BASIS

被引:16
作者
DRAAYER, JP
WILLIAMS, SA
机构
[1] Institute for Atomic Research, Department of Physics, Iowa State University, Ames
基金
美国国家科学基金会;
关键词
D O I
10.1016/0375-9474(69)90707-6
中图分类号
O57 [原子核物理学、高能物理学];
学科分类号
070202 ;
摘要
An explicit expression for the transformation brackets between the basis for an arbitrary irreducible representation of U(3) labeled in the U(3) ⊃ R(3) scheme introduced by Elliott and the Gel'fand U(3) ⊃ U(2) ⊗ U(1) scheme is obtained. The results are applied in deriving an expression for both the U(3) ⊃ R(3) coupling coefficients and projected tensor matrix elements. © 1969.
引用
收藏
页码:647 / &
相关论文
共 41 条
[1]  
Akiyama Y., 1966, NUCL DATA SHEETS, V2, P403, DOI DOI 10.1016/S0550-306X(66)80012-5
[2]   GROUP THEORY OF HARMONIC OSCILLATORS .2. INTEGRALS OF MOTION FOR QUADRUPOLE-QUADRUPOLE INTERXRION [J].
BARGMANN, V ;
MOSHINSKY, M .
NUCLEAR PHYSICS, 1961, 23 (02) :177-&
[3]  
BARGMANN V, 1961, PURE APPL MATH, V14, P198
[4]  
BIEDENHARN LC, 1965, QUANTUM THEORY AN ED
[5]  
BLOCH F, 1968, SPECTROSCOPIC GRO ED
[6]  
BOHR A, PRIVATE COMMUNICATIO
[7]   REPRESENTATIONS OF FINITE U3 TRANSFORMATIONS [J].
CHACON, E ;
MOSHINSKY, M .
PHYSICS LETTERS, 1966, 23 (10) :567-+
[8]  
CHACON E, 1968, SPECTROSCOPIC GROUP
[9]   ELLIOTT ANGULAR MOMENTUM STATES PROJECTED FROMGELFAND U(3) BASIS [J].
DRAAYER, JP ;
PURSEY, DL ;
WILLIAMS, SA .
NUCLEAR PHYSICS A, 1968, A119 (03) :577-&
[10]  
DWIGHT HB, 1961, TABLES INTEGRALS MAT