MATRIX ELEMENTS IN SYSTEMS WITH NONUNITARY SYMMETRY

被引：13

作者：

AVIRAN, A

ZAK, J

机构：

[1] Department of Physics, Technion - Israel Institute of Technology, Haifa

[2] Department of Physics, Francis Bitter National Magnet Laboratory, M.I.T., Cambridge, MA

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1968年 / 9卷 / 12期

关键词：

D O I：

10.1063/1.1664555

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The Eckart-Wigner theorem is generalized to include nonunitary groups. The proof is based on the connection between corepresentations of a nonunitary group and the representations of its unitary part. All possible cases of the corepresentations have been considered, and general expressions for matrix elements of operators with given symmetry have been obtained. It has been shown that the antiunitary symmetry leads, in general, to additional connections between different matrix elements.

引用

页码：2138 / &

共 8 条

[1]

AVIRAN A, 1967, THESIS TECHNIONISRAE

[2] REPRESENTATION THEORY FOR NONUNITARY GROUPS [J].

DIMMOCK, JO .

JOURNAL OF MATHEMATICAL PHYSICS, 1963, 4 (10) :1307-&

[3] The application of group theory to the quantum dynamics of monatomic systems [J].

Eckart, C .

REVIEWS OF MODERN PHYSICS, 1930, 2 (03) :0305-0380

[4]

Hamermesh M., 1962, GROUP THEORY ITS APP

[5]

KARAVAEV GF, 1965, FIZ TVERD TELA+, V6, P2943

[6]

KARAVAEV GF, 1964, FIZ TVERD TELA, V6, P3676

[7] MATRIX ELEMENTS OF SYMMETRIC OPERATORS [J].

KOSTER, GF .

PHYSICAL REVIEW, 1958, 109 (02) :227-231

[8]

Wigner E. P., 1959, GROUP THEORY ITS APP

← 1 →