PHY 464: Quantum Mechanics I, Fall 2023
SynopsisThis course provides a systematic introduction to quantum mechanics. We will first discuss a few interesting experimental observations that lead to the development of quantum theory and then go through the mathematical basis, the postulates of QM, and their interpretation. Considering different one-dimensional quantum systems, we will encounter phenomena like quantum tunneling and scattering. We will see further how higher-dimensional and composite systems can be described using tensor products. This allows us to understand the essential concept of entanglement as well as Bell inequalities. An important tool for the study of quantum systems is perturbation theory. We will discuss this technique for static problems and its convergence properties. A discussion of symmetries will lead us to angular momentum and spin operators, and it will allow us to understand the electronic states of the hydrogen atom. Time permitting, we will learn perturbative and non-perturbative methods to study the dynamics of quantum systems.Some knowledge of linear algebra at the level of Math 216, 218 or 221 is needed. Please check back with the instructors if you had no prior exposure to QM (PHY 264). We will keep the course as self-contained as possible. Lecture Notes[Are provided on the Sakai site PHYSICS.464D.01D.F23.]HomeworkYou are encouraged to discuss homework assignments with fellow students and to ask questions on the Sakai Forum or by email. But the written part of the homework must be done individually and cannot be a copy of another student's solution. (See the Duke Community Standard.)Homework due dates are strict (for the good of all), i.e., late submissions are not accepted. If there are grave reasons, you can ask for an extension early enough before the due date. [Problem sets are provided through Gradescope on the Sakai site PHYSICS.464D.01D.F23.] LiteratureThe primary reading resource for the course is the textbook
have a nice day! |