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[1]刘雅超,黎明,吕惠民,等.原始EPR佯谬本征态的量子力学[J].武汉工程大学学报,2011,(08):107-110.
　LIU Yachao,LI Ming,LV Huimin,et al.Quantum mechanics analysis of eigenstate in original EPR paradox[J].Journal of Wuhan Institute of Technology,2011,(08):107-110.
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原始EPR佯谬本征态的量子力学(/HTML)
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《武汉工程大学学报》[ISSN:1674-2869/CN:42-1779/TQ]

卷:
期数:
2011年08期
页码:
107-110
栏目:
机电与信息工程
出版日期:
2011-09-30

文章信息/Info

Title:

Quantum mechanics analysis of eigenstate in original EPR paradox
文章编号:
16742869（2011）08010704
作者:
刘雅超; 黎明; 吕惠民; 唐远河
西安理工大学应用物理系，陕西 西安 710048
Author(s):
LIU Yachao;  LI Ming;  LV Huimin;  TAN Yuanhe
Department of applied physics, Xi’ an University of Technology, Xi’ an 710048, China
关键词:
EPR佯谬;  共同本征态;  纠缠态;  坐标表象;  动量表象
Keywords:
the EPR paradox;  the common eigenstate;  entangled state;  coordinate representation;  momentum representation
分类号:
O413.1
DOI:
-
文献标志码:
AAdoi:10.3969/j.issn.16742869.2011.08.026
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．
Abstract:
The eigenstate existing in the problem of EPR paradox is introduced. The commutation of related operators is analyzed and the wavefunction 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 twoparticle system, subsequently the wavefunction in momentum representation is obtained. The relation of the form of the wavefunction 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.

参考文献/References:

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