摘要
波函数按力学量算符的本征函数系展开是量子力学的基本问题之一。它要求表示力学量的算符线性、厄米性,且全连续。本文证明了异于零的全连续的线性厄米算符有正交的完全的本征函数系,并就正交函数系的封闭性、完全性及展开的唯一性进行了讨论。
The expansion of a wave function,according to eigenfunction series of mechanical quantity operator. is one of the basic questions of quantum mechanics.It requires that operator expresses mechanical quantity linearity,Her[nitean and full continuty.This papar has proved that the nonzero linear Hermitean operator of full continuity has orthogon al and complete eigenfunction series. And the closeness, completeness and uniqueness for expansion have been discussed.
出处
《衡阳师专学报》
1994年第3期1-8,共8页
Journal of Hengyang Normal University