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双参数变形双模玻色算符的代数结构及其应用
引用本文:于肇贤 张德兴. 双参数变形双模玻色算符的代数结构及其应用[J]. 光子学报, 1997, 26(10): 877-881
作者姓名:于肇贤 张德兴
作者单位:[1]胜利油田职工大学 [2]大庆石油学院
摘    要:构造了两个满足量子Heisenberg-Weyl代数的双参数变形双模玻色算符,研究了它们的代数结构,作为应用,分别构造了这两个算符二次幂及高次幂的本征态,证明了它们的完备性.

关 键 词:双模玻色算符  双参数变形  量子Heisenberg-Weg1代数  本征态  完备性
收稿时间:1997-03-20

LHE ALGEBRAIC STRUCTURE OF TWO-PARAMETER DEFORMED TWO-MODE BOSE OPERATORS AND THEIR APPLICATIONS
Yu Zhaoxian,Zhang Dexing,Liu Yehou. LHE ALGEBRAIC STRUCTURE OF TWO-PARAMETER DEFORMED TWO-MODE BOSE OPERATORS AND THEIR APPLICATIONS[J]. Acta Photonica Sinica, 1997, 26(10): 877-881
Authors:Yu Zhaoxian  Zhang Dexing  Liu Yehou
Affiliation:Daqing Institute of Petroleum, Anda 151400
Abstract:The two--parameter deformed two--mode bose operators which satisfy quantum HeisenbergWey1 algebra are constructed,and their algebraic structures are studied. As examples,the eigenstates of the second and high power of the two -- parameter deformed two -- mode hose operators are constructed,and their completenesses are proved.
Keywords:Two-mode bose operator  Two-parameter deformation  Quantum Heisenberg-Weyl algebra  Eigenstate  Completeness
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