Model complicated systems using quantum mechanics
Construct various approximation schemes in quantum mechanics
Develop your understanding of the time dependent processes in quantum mechanics
Explain a quantum phenomenon in a written paper
In this quantum physics course, you will learn about the primary perturbative methods in quantum mechanics: degenerate and non-degenerate time-independent perturbation theory, the semi-classical WKB approximation, time-dependent perturbation theory, the adiabatic approximation, and scattering theory. Together, these approximation methods represent a valuable set of tools that are broadly applicable across almost all of physics. We will use these methods to study a variety of systems that do not admit analytic solutions, including the fine structure of hydrogen, tunneling rates, radiative decay and molecules. We will also investigate the quantum mechanical description of a particle in a magnetic field, and discuss the symmetries associated with multi-particle systems in detail.
This is the final course of a series of courses on edX:
8.04x Quantum Mechanics
8.05x Mastering Quantum Mechanics
8.06x Applications of Quantum Mechanics
The course is based on the MIT course, 8.06: Quantum Mechanics III. At MIT, 8.06 is the final course in a three-course undergraduate sequence in Quantum Mechanics. 8.06 is a capstone in the education of physics majors, preparing them for advanced and specialized study in any field related to quantum physics.
Image source: Gerd Altmann
Time-independent non-degenerate and degenerate perturbation theory
The fine structure of the Hydrogen atom
The semi-classical WKB approximation
Time-dependent perturbation theory
Atoms and light
Charged particles in magnetic fields
The adiabatic approximation
Learners should be familiar with quantum mechanics at the level of 8.05x
I’ve taken 8.04x. Will I be able to do this course?
We recommend taking 8.05x the next time it runs, and then joining us for 8.06x afterwards. It would be difficult to successfully pass this course without all of the prerequisite knowledge.