摘要
通过引入有序算符内的积分理论,从光子产生–湮灭的观点出发来阐述量子力学理论,显示表象的正态分布,在数学上支持量子力学的几率假设;指出如何从经典变换直接过渡到量子幺正算符,自然地引入纠缠态表象,并指出数学物理研究的新方向.
By introducing the theory of integration within ordered product of operators we recapitulate quantum mechanics(QM)from the point of view of photon creation-annihilation.We demonstrate the normal distribution of QM representations,which supports the probability postulate of QM,and provide the way of directly transit classical transforms to QM unitary transform operators.The entangled state representation is naturally constructed,and the new research direction of mathematical physics is pointed out.
作者
范洪义
FAN Hong-yi(Department of Material Science and Engineering,University of Science and Technology of China,Hefei Anhui 230026,China)
出处
《菏泽学院学报》
2024年第2期1-11,共11页
Journal of Heze University
基金
国家自然科学基金(11775208)。
关键词
有序算符
正态分布
纠缠态
幺正变换
ordered operator
normal distribution
entangled state
unitary transform