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双模压缩算符和双模压缩态的新形式表示及其性质
引用本文:庞乾骏.双模压缩算符和双模压缩态的新形式表示及其性质[J].上海交通大学学报,1996(8).
作者姓名:庞乾骏
摘    要:在质心坐标系下引入了双粒子坐标本征态和动量本征态,得到双模压缩算符和双模压缩态在坐标表象和动量表象中的新形式表示.证明了双模压缩态也是准粒子空间的双模相干态,它可以对应两类不同的位移宗量.导出了双模压缩态与质心系下坐标本征态和动量本征态之间的转换关系,并讨论了双模压缩态的若干性质.

关 键 词:双模压缩算符  双模压缩态  双模相干态  质心系  坐标本征态  动量本征态

New Formalism and Their Property of Two-Mode Squeeze Operator and Two-Made Squeezed State
Pang Qianjun.New Formalism and Their Property of Two-Mode Squeeze Operator and Two-Made Squeezed State[J].Journal of Shanghai Jiaotong University,1996(8).
Authors:Pang Qianjun
Institution:Applied Physics Department
Abstract:In this paper, coordinate and momentum eigenstates of two-particle have been introduced in the centre-of-mass system.New formalisms of two-mode squeeze operator and two-mode squeezed state have been given in coordinate and momentum' pictures. We have proved that the two-mode squeezed state is also a kind of coherent state in a quasiparticle space. It may correspond to two kinds of disgracement parameters. The transfer relationships between two-mode squeezed state and eigenstates of both coordinate and momentum operators are presented. Some properties of two-mode squeezed state are discussed.
Keywords:two-mode squeeze operator  two-mode squeezed state  two-mode coherent state  centre-of-mass system  coordinate eigenstate  momentum eigenstate
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