GROUP REPRESENTATION IN A CONTINUOUS BASIS - AN EXAMPLE

被引：25

作者：

ITZYKOSO.C

机构：

[1] Stanford Linear Accelerator Center, Stanford University, Stanford, CA

[2] Service de Physique Theorique, CEN Saclay, 91, Gif sur Yvette

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1969年 / 10卷 / 06期

关键词：

D O I：

10.1063/1.1664941

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Given an irreducible unitary representation of a noncompact group, what happens if one tries to diagonalize one of the noncompact generators? We study some aspects of this question on an example, chosen to be a representation of the discrete series with j = -1/2 of the special real linear group in two dimensions.

引用

页码：1109 / &

共 10 条

[1]

BARGMANN V, 1947, ANN MATH, V48, P569

[2]

BARUT AD, 1967, MATRIX ELEMENTS REP

[3]

GELFAND IM, 1966, GEN FUNCT, V5, pCH7

[4]

IVERSON GJ, U ADELAIDE PREPRINT

[5]