动量算符厄米性的讨论

A hermitianity Discussion on the Momentum Operator

量子力学中表征可观测的力学量算符必须是厄米算符。动量算符具有厄米性是有条件的,它并非对所有的波函数都是厄米的。能够弄清动量算符厄米性的条件对深入学习和理解量子力学起到非常重要的作用。文章从三个不同的方面对动量算符的厄米性进行了较为深入的讨论。

The measurable mechanical - quantity operator of quantum mechanics has to be hermite operator. Every momentum operator which shows hermite property must obey any rules, while it is not hermite for all wave functions. It will play an important role in the studying and the understanding quantum mechanics for us if we can clarify the condition for the hermitianity of momentum operator. In this paper, the hermitianity of momentum operator had been well discussed term by term by some suitable examples.