This is an intermediate course in quantum mechanics, featuring a logical and systematic development of the formalism of quantum mechanics. Topics include quantum kinematics, quantum measurements, symmetries in quantum mechanics, quantum dynamics, angular momentum, hydrogen atom, and perturbation theory.
These courses introduce the basic concepts of determinism and randomness in the physical world, and the computational and analytical methods for studying chaotic and nonlinear systems. Topics include dynamical system theory, bifurcations, and fractals.