自由落体的双波函数研究

本文完整地给出了自由落体的双波函数量子论，讨论了刚性边界对落体的非局域性影响，研究了非厄密算符（－ｉｈｄ／ｄｘ）＾３｛ｘ∈［０，∞］｝的意义，本文的结果不仅再一次说明了双波函数量子论的优美之处，即经典力学结果是双波函数理论的经典极限，通常的量子力学结果是统计系统中的统计结果，还表明了双波函数量子论对算符厄密性的要求比通常量子力学对它的要求要低。

A Double Wave Function Study for Freey Falling Bodies

The complete double wave funetion theory is presented for freely falling bodies,in which both the non-local effect of the rigid boundary on bodies and the meaning of non-Hermitian operator are studied.The results show that the requirement of Hermiticity of operators in our theory is lower than that in usual quantum theory. And they illustrate again that the usual quantum mechanical results are involved in statistical case and the classical results are reduced in classical limit.