REPRESENTATION THEORY OF SP(4) AND SO(5)

被引:18
作者
HOLMAN, WJ
机构
[1] Center for Theoretical Studies, University of Miami, Coral Gables, FL
关键词
D O I
10.1063/1.1665018
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The basis states for all the irreducible unitary representations of Sp(4) are constructed by means of a calculus of boson operators. The Gel'fand states are explicitly expanded in terms of their constituent Weyl patterns. In terms of these states the matrix elements of finite rotations in five dimensions are obtained.
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页码:1710 / &
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共 42 条
[1]   ON REPRESENTATIONS OF SEMISIMPLE LIE GROUPS .2. [J].
BAIRD, GE ;
BIEDENHARN, LC .
JOURNAL OF MATHEMATICAL PHYSICS, 1963, 4 (12) :1449-&
[2]  
BARGMANN V, 1961, COMMUN PURE APPL MAT, V14, P198
[3]   ON THE COUPLING OF A J = 3/2 PARTICLE TO NUCLEAR QUADRUPOLE SURFACE OSCILLATIONS [J].
BAYMAN, BF ;
SILVERBERG, L .
NUCLEAR PHYSICS, 1960, 16 (04) :625-644
[4]   WIGNER COEFFICIENTS FOR R4 GROUP AND SOME APPLICATIONS [J].
BIEDENHARN, L .
JOURNAL OF MATHEMATICAL PHYSICS, 1961, 2 (03) :433-&
[5]  
BOHR A, 1952, KGL DANSKE VIDEN MFM, V26
[6]  
BOHR A, 1953, KGL DANSKE VIDEN MFM, V27
[7]  
CHOUDHURI DC, 1954, KGL DANSKE VIDEN MFM, V28
[8]  
CIFTAN M, 1969, J MATH PHYS, V10, P1639
[9]  
CIFTAN M, 1967, THESIS DUKE U
[10]  
DOLGINOV AZ, 1959, SOV PHYS JETP-USSR, V8, P550