原始EPR佯谬本征态的量子力学  

Quantum mechanics analysis of eigenstate in original EPR paradox

作　　者：刘雅超[1] 黎明[1] 吕惠民[1] 唐远河[1] 

机构地区：[1]西安理工大学应用物理系,陕西西安710048

出　　处：《武汉工程大学学报》2011年第8期107-110,共4页Journal of Wuhan Institute of Technology

基　　金：西安理工大学青年科学研究计划项目(108-210828);国家自然科学基金(No.10874138)

摘　　要：介绍了原始EPR佯谬问题所给出的本征态,分析了相关算符间的对易关系,验证了该本征态坐标表象波函数并讨论其量子力学含义.将该本征态在体系动量直积态上展开进而得到其动量表象波函数,分析了动量表象波函数形式与坐标系原点选取的关系及物理含义.结果表明该本征态是动量和坐标的双重纠缠态.The eigenstate existing in the problem of EPR paradox is introduced.The commutation of related operators is analyzed and the wave-function in coordinate representation of the eigenstate is verified and its physical signification is discussed.The eigenstate is expended in the direct product space of the moment eigenstates of a two-particle system,subsequently the wave-function in momentum representation is obtained.The relation of the form of the wave-function in momentum representation and the selection of the origin of coordinates,including its physical meaning was analyzed.Results showed that the eigenstate was a entangled state of the coordinate and momentum.

关 键 词：EPR佯谬 共同本征态 纠缠态 坐标表象 动量表象 

分 类 号：O413.1[理学—理论物理]