Lie bialgebra quantizations of the oscillator algebra and their universal R-matrices

被引：26

作者：

Ballesteros, A

Herranz, FJ

机构：

[1] Departamento de Física, Universidad de Burgos, E-09001, Burgos, Pza Misael Bañuelos

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1996年 / 29卷 / 15期

关键词：

D O I：

10.1088/0305-4470/29/15/006

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

All coboundary Lie bialgebras and their corresponding Poisson-Lie structures are constructed for the oscillator algebra generated by {N, A(+), A(-), M}. Quantum oscillator algebras are derived from these bialgebras by using the Lyakhovsky and Mudrov formalism and, for some cases, quantizations at both algebra and group levels are obtained, including their universal R-matrices.

引用

页码：4307 / 4320

页数：14

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