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双参数变形玻色湮没算符高次幂的本征态及其量子统计性质
引用本文:孟现磊,于肇贤.双参数变形玻色湮没算符高次幂的本征态及其量子统计性质[J].光子学报,1996,25(6):496-500.
作者姓名:孟现磊  于肇贤
作者单位:聊城师范学院物理系,胜利油田职工大学,大庆石油学院电子工程系
摘    要:本文构造了双参数变形玻色湮没算符高次幂a'k(k≥3)的k个正交归一木征态的数学结构,发现它们能构成一个完备的Hilbert空间,并且讨论了它们的量子统计性质.

关 键 词:双参数变形  玻色湮没算符  本征态  完备性关系  量子统计性质
收稿时间:1995-04-28

EIGENSTATES AND QUANTUM STATISTICAL PROPERTIES OF THE HIGH POWERS OF THE BOSONIC ANNIHILATION OPERATOR WITH TWO-PARAMETER DEFORMATION
Meng Xianlei.EIGENSTATES AND QUANTUM STATISTICAL PROPERTIES OF THE HIGH POWERS OF THE BOSONIC ANNIHILATION OPERATOR WITH TWO-PARAMETER DEFORMATION[J].Acta Photonica Sinica,1996,25(6):496-500.
Authors:Meng Xianlei
Institution:1. Department of Physics, Liaocheng Teachers’College, Shandong 252059;2. Shengli Oilfield Workers University, Shandong 257004;3. Department of Electrical Engineering, Daqing Institute of Petroleum, Heilongjiang 151400
Abstract:The mathematical structure of k orthonormalized eigenstates of the high powers a’k(k≥3)of the bosonic annihilation operator with two-parameter deformation are constructed. It is found thatthey form a complete Hilbert space,and the quantum statistical properties are discussed.
Keywords:Two-parameter deformation  Bosonic annihilation operator  Eigenstate  Complete relation  Quantum statistical property
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