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This lecture covers the historical development of atomic models, from Thomson and Rutherford to Bohr's model, which introduced quantized angular momentum. It then delves into the Schrödinger equation's role in accurately describing the hydrogen atom's energy eigenstates and eigenvalues, emphasizing the central force problem and the analytical solutions in spherical coordinates. The lecture concludes by exploring the quantum numbers characterizing the hydrogen atom's eigenstates and the spherical probability distribution of the electron around the nucleus.