Analysis on the Derivation of the Schrödinger Equation with Analogy to Electromagnetic Wave Equation

Abstract: The Schr\"odinger equation is universally accepted due to its excellent predictions aligning with observed results within its defined conditions. Nevertheless, it does not seem to possess the simplicity of fundamental laws, such as Newton's laws of motion. Various insightful attempts have been made to elucidate the rationale behind the Schr\"odinger equation. This paper seeks to review existing explanations and propose some prospectives on the derivation of the Schr\"odinger equation.