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This lecture covers the wave function in quantum mechanics, its interpretation, and the Schrödinger equation. It explains the relationship between classical mechanics and quantum mechanics, the conditions that the wave function must meet, and the role of the Schrödinger equation in describing atomic phenomena. The lecture also discusses the free nonrelativistic particle, the hypotheses for the wave equation, and the extension to cases with constant potentials. Additionally, it explores the eigenvalue problem, the general solution of the wave function, and the continuity of solutions in quantum mechanics.