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The representation of quantum states as abstract vectors. Superposition of states. Quantum operators and their matrix representations. Angular momentum operator as the generator of rotations. Eigenvalues and eigenstates of angular momentum. The uncertainty principle. Spin one-half and spin one as examples. Addition of angular momentum. The Hamiltonian operator and the Schrodinger equation. One dimensional examples. The momentum operator, eigenstates of position. Operator solution of the harmonic oscillator. I(3,0) Quantum Mechanics I The representation of quantum states as abstract vectors. Superposition of states. Quantum operators and their matrix representations. Angular momentum operator as the generator of rotations. Eigenvalues and eigenstates of angular momentum. The uncertainty principle. Spin one-half and spin one as examples. Addition of angular momentum. The Hamiltonian operator and the Schrodinger equation. One dimensional examples. The momentum operator, eigenstates of position. Operator solution of the harmonic oscillator.