Lectures on Quantum Mechanics

Topics covered in this course will include the axioms of quantum mechanics; Hilbert and Banach spaces; projectors, bras and kets; measure theory; integration of measurable functions; self adjoint and essentially self-adjoint operators; spectra and perturbation theory; inverse spectral theorem; spectral theorem; Stone's theorem and construction of observables; spin; composite systems; total spin of a composite system; quantum harmonic oscillator; the Fourier operator; the free Schrodinger operator; and periodic potentials.