This course introduces the mathematical foundation of quantum mechanics to the first year physics graduate students. Topics include: Hilbert space, measurement theory, theory of rotation and angular momentum, group theory and application to quantum mechanics, Wigner-Eckart theorem, Clebsch-Gordon coefficients, stationary perturbation, time dependent perturbation, applications to atoms, molecules and solids.
Topical Prerequisites: One year of undergraduate Quantum Mechanics, Mathematical Physics, Mechanics, Electromagnetism.