Brief Introduction
This course focuses on essential techniques needed for practical applications and research in Quantum Mechanics. We introduce a variety of approximation methods to understand systems that have no analytic solutions.
Description
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
Knowledge
- In this course you will:
- 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
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