Two Kinds of Two-Boson Realizations of Generally Deformed Algebras with Three Generators

作     者：RUAN Dong LI Yan-Song SUN Hong-Zhou 

作者机构：Center of Theoretical Nuclear Physics~ National Laboratory of Heavy Ion Accelerator Lanzhou 730000 China Department of Physics Tsinghua University Beijing 100084 China Key Laboratory of Quantum Information and Measurements Tsinghua University Beijing 100084 China Institute of Theoretical Physics Academia Sinica Beijing 100080 China 

出 版 物：《Communications in Theoretical Physics》 (理论物理通讯（英文版）)

年 卷 期：2007年第47卷第3期

页      面：529-534页

核心收录：

学科分类：07[理学] 070201[理学-理论物理] 0702[理学-物理学] 

基　　金：The project supported by National Natural Science Foundations of China under Grant Nos. 10275038 and 60635040  and partly by the State Key Research Development Program under Grant No. G2000077400 

主　　题：deformed algebra boson realization unitarization equation 

摘      要：In this paper two kinds of two-boson realizations of generally deformed algebras with three generators are obtained by generalizing the Jordan-Schwlnger realizations of SU（2） and SU（1,1）. For each kind, a unitary realization and a non-unitary realizatlon, together with the properties of their acting spaces, are discussed. Similarity transformations that relate the non-unitary realizations to the unitary ones are given by solving unitarization equations.