厄密性及物理量观测平均值表达式的讨论

Discussion on Hermitian and the expression for mean value of an observable quantity

为了弄清物理量观测实验和量子力学理论公式的联系,依据物理量平均值表达式的数学形式,以实验观测数据必须是实数这一基本要求为依据,讨论了厄密性与可观测物理量之间的联系。并进一步用位置矢量(位置本征函数)对波函数ψ(x,y,z)进行了展开,讨论了空间某位点观测数据出现的概率与波函数之间的关系,说明了归一化波函数在空间某位点的模平方代表的物理意义。

In order to have a clear understanding of the relationship between physical experiment and the quantum theory equation, based on the mean value expression of an observable quantity and the restriction that an observable quantity should be a real value, the relationship of Hermitian and the observable quantity is discussed. And the wave fimction （ x, y, z） is composed by expansion method of a series of position vectors（ or position functions） , the relationship between observed data and the probability of occun＇enee on a position is discussed, and the meaning of wave function modular squaring is explained.