原始EPR佯谬本征态的量子力学

摘要

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.%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.