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This lecture covers the basics of quantum mechanics, from atomic orbitals to molecular orbitals, including the Schrödinger equation, Dirac notation, quantum numbers, and the Born interpretation of wavefunctions. It also discusses the approximations used to solve the Schrödinger equation and the consequences of Hermiticity. The lecture explores the quantization of energies, the properties of the scalar product, and the interpretation of wavefunctions in quantum systems.