Representations of SU(1,1) in non-commutative space generated by the Heisenberg algebra

被引：1

作者：

Ahmedov, H

Duru, IH

机构：

[1] Feza Gursey Inst, TR-81220 Istanbul, Turkey

[2] Trakya Univ, Dept Math, Edirne, Turkey

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2001年 / 34卷 / 02期

关键词：

D O I：

10.1088/0305-4470/34/2/302

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

SU(1, 1) is considered as the automorphism group of the Heisenberg algebra H. The basis in the Hilbert space K of functions on H on which the irreducible representations of the group are realized is explicitly constructed. From group theoretical considerations summation formulae for the product of two, three and four hypergeometric functions are derived.

引用

页码：227 / 234

页数：8

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