The generalized Heisenberg group arising from Weyl relations

被引：0
|
作者：
Rebei H. [1 ]
机构：
[1] Department of Mathematics, College of Science, Qassim University, P.O.Box 5155, Buraidah
来源：
Quantum Studies: Mathematics and Foundations | 2015年 / 2卷 / 4期
关键词：
Generalized Heisenberg group; Generalized Weyl operator; Oscillator algebra;
D O I：
10.1007/s40509-015-0054-6
中图分类号：
学科分类号：
摘要：
In this paper, we introduce the generalized Weyl operators canonically associated with the one-mode oscillator Lie algebra as unitary operators acting on the bosonic Fock space Γ (C). Next, we establish the generalized Weyl relations and deduce a group structure on the manifold R2× [- π, π[× R generalizing the well-known Heisenberg one in a natural way. © 2015, Chapman University.
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页码：449 / 466
页数：17
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