从力学与光学的相似性到薛定谔的波动力学

From the Analogues between Mechanics and Optics to Schr?dinger Wave Mechanics

为了让学生对波动力学实际的建立过程有一个完整的了解,叙述了波动力学建立过程中两个重要的具有启发性的阶段,即力学与光学的相似性,德布罗意物质波,基于微观粒子波粒二象性崭新概念,叙述了当时薛定谔建立波动力学的整个过程。介绍了量子力学课中薛定谔本人“导出”波动方程的一个较有趣和较深刻的方法。

In order that students have a whole realization of the wave mechanics foundation, we review the two impor- tant enlightened steps in details, i.e. the analogues between mechanics and optics, de Broglie matter wave. Based on the duality of wave and particle, we report the whole process that Schrödinger founded his wave mechanics. We introduce Schrödinger’s interesting and deep method of “deriving” wave equation to quantum mechanics teaching.