A thorough study of the general formalism of quantum mechanics together with some illustrative applications, including the postulates of quantum mechanics; states, observables, and operators; measurements in quantum mechanics; the Dirac notation; simple systems: the square well, the harmonic oscillator, the hydrogen atom; approximation techniques and perturbation theory; and elements of the quantum theory of angular momentum.
Basic concepts of quantum mechanics and mathematical preliminaries, Eigenvalues, expectation values, Measurement and the uncertainty principle, Time evolution of wavepackets, 1-dimensional potential well problems, Simple harmonic oscillator Central force problems, Orbital angular momentum and spin, Hydrogen atom.
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