MAUPERTUIS PRINCIPLE AND ESTABLISHMENT OF SCHRÖDINGER EQUATION

The Schrödinger equation is the fundamental equation of quantum mechanics, primarily discussing the evolution of quantum states over time and solving the wave function under specific conditions. Its position is equivalent to that of Newton's equation in classical mechanics. Based on the literature “Teaching Attempts to Introduce Wave-Particle Duality in Quantum Mechanics,” this paper further establishes the Schrödinger equation through the Maupertuis principle. By comparing several typical teaching methods for establishing the Schrödinger equation, the characteristics of the method proposed in this paper are further highlighted, which helps students to integrate new and old knowledge organically, more easily accept and understand the basic equations of quantum mechanics, enhance students' ability to transfer knowledge, and stimulate students' creative thinking.