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.
引用
收藏
页码：749 / 759
页数：11
相关论文
共 50 条
  • [1] On construction of coherent states associated with homogeneous spaces
    Arefijamaal, Ali Akbar
    TURKISH JOURNAL OF MATHEMATICS, 2010, 34 (04) : 515 - 521
  • [2] On discrete frames associated with semidirect products
    Aniello, P
    Cassinelli, G
    De Vito, E
    Levrero, A
    JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 2001, 7 (02) : 199 - 206
  • [3] On discrete frames associated with semidirect products
    Paolo Aniello
    Gianni Cassinelli
    Ernesto De Vito
    Alberto Levrero
    Journal of Fourier Analysis and Applications, 2001, 7 : 199 - 206
  • [4] Localizations associated to semidirect products
    Rodríguez, JL
    Scevenels, D
    TOPOLOGY AND ITS APPLICATIONS, 2000, 108 (02) : 169 - 177
  • [5] A construction of encryption protocols over some semidirect products
    Isobe, Shuji
    Koizumi, Eisuke
    JOURNAL OF MATHEMATICAL CRYPTOLOGY, 2023, 17 (01)
  • [6] Loops and semidirect products
    Kinyon, MK
    Jones, O
    COMMUNICATIONS IN ALGEBRA, 2000, 28 (09) : 4137 - 4164
  • [7] Semidirect products of lattices
    Přemysl Jedlička
    Algebra universalis, 2007, 57 : 259 - 272
  • [8] Semidirect products of lattices
    Jedlicka, Premysl
    ALGEBRA UNIVERSALIS, 2007, 57 (03) : 259 - 272
  • [9] Substitution Principle and semidirect products
    Borlido, Celia
    Gehrke, Mai
    MATHEMATICAL STRUCTURES IN COMPUTER SCIENCE, 2023, 33 (06) : 486 - 535
  • [10] Automorphism groups of semidirect products
    Fang Zhou
    Heguo Liu
    Archiv der Mathematik, 2008, 91 : 193 - 198
12345