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原始EPR佯谬本征态的量子力学

Quantum mechanics analysis of eigenstate in original EPR paradox
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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.
作者 刘雅超 黎明 吕惠民 唐远河
机构地区 西安理工大学应用物理系
出处 《武汉工程大学学报》 CAS 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)
关键词 EPR佯谬 共同本征态 纠缠态 坐标表象 动量表象 the EPR paradox the common eigenstate entangled state coordinate representation momentum representation
分类号 O413.1 [理学—理论物理]
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参考文献18

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武汉工程大学学报
2011年 第8期

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