In this paper we explore the analogies between optical physics and quantum mechanics. The formal similarity between the Helmholtz wave equation and the time-independent Schrdinger equation is presented. Details of the analogy between plane interface and potential step and between thin film and potential barrier are developed and a detailed discussion is provided to reinforce the analogy. We hope that the present work can be useful for undergraduate students.

中文翻译：

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光学物理和量子力学之间的类比

在本文中，我们探讨了光学物理和量子力学之间的类比。介绍了亥姆霍兹波动方程和与时间无关的薛定谔方程之间的形式相似性。开发了平面界面和势垒之间以及薄膜和势垒之间的类比的细节，并提供了详细的讨论以加强类比。我们希望目前的工作对本科生有用。