The aim of the course is to present in more details some topics in quantum mechanics. The course will give the students some instruments for the explicit solutions of quantum mechanical problems. The objective of the course is to help you learn how to apply quantum mechanical ideas to the solution of physical problems. The lectures will develop the methods of quantum mechanics systematically, and illustrate their application with numerous examples and applications to real problems.
Postulates of quantum mechanics; Dirac delta function and Dirac notation; the Schrödinger equation in three-dimensions; angular momentum; the radial equation; the hydrogen atom; interaction of electrons with electro-magnetic field; operators, matrices, and spin; the addition of angular momenta; time-independent perturbation theory.