A Jordanian quantum two-photon/Schrodinger algebra

被引：15
作者：
Ballesteros, A
Herranz, FJ
Parashar, P
机构：
[1] Univ Burgos, Dept Fis, E-09001 Burgos, Spain
[2] Texas A&M Univ, Dept Math, College Stn, TX 77843 USA
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1997年 / 30卷 / 24期
关键词：
D O I：
10.1088/0305-4470/30/24/019
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
A non-standard quantum deformation of the two-photon algebra h(6) is constructed, and its quantum universal R-matrix is given. Representations of this new quantum algebra are studied on the Fock space and translated into Fock-Bargmann realizations that provide a direct formalism for the definition of deformed states of light. Finally, the isomorphism between h(6) and the (1 + 1) Schrodinger algebra is used to introduce a new (non-standard) Hopf algebra deformation of this latter symmetry algebra.
引用
收藏
页码：8587 / 8597
页数：11
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