Unitary representations of the two-dimensional Euclidean group in the Heisenberg algebra

被引：8

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 | 2000年 / 33卷 / 23期

关键词：

D O I：

10.1088/0305-4470/33/23/305

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

E(2) is studied as the automorphism group of the Heisenberg algebra H. The basis in the Hilbert space K of functions on H on which the unitary irreducible representations of the group are realized is explicitly constructed. The addition theorem for the Kummer functions is derived.

引用

页码：4277 / 4281

页数：5

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