ON CONSTRUCTION OF COHERENT STATES ASSOCIATED WITH SEMIDIRECT PRODUCTS

被引：8
|
作者：
Arefijamaal, A. A. [1 ]
Kamyabi-Gol, R. A. [2 ]
机构：
[1] Tarbiat Moallem Univ, Dept Math, Sabzevar 397, Iran
[2] Ferdowsi Univ Mashhad, Dept Math, Mashhad 115991775, Iran
来源：
INTERNATIONAL JOURNAL OF WAVELETS MULTIRESOLUTION AND INFORMATION PROCESSING | 2008年 / 6卷 / 05期
关键词：
Locally compact abelian group; semidirect product; Fourier transform; square integrable representation; coherent states;
D O I：
10.1142/S021969130800263X
中图分类号：
TP31 [计算机软件];
学科分类号：
081202 ; 0835 ;
摘要：
Most of the interesting groups encountered in the physics literature are semidirect product groups. These groups are of the general form G = Hx(tau) K, where H and K are locally compact groups. In this paper, we consider the quasi regular representation on such a group G and investigate when it is possible to construct a family of coherent states associated to this representation.
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页码：749 / 759
页数：11
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