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Applications of Quantum Mechanics

  • Job DurationedX
  • Job Duration19 weeks long, 12-16 hours a week
  • Job DurationFree Online Course (Audit)

Project detail


Overview

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

Please note that edX, Inc. has recently entered into an agreement to transfer the edX platform to 2U, Inc., which will continue to run the platform thereafter. The sale will not affect your course enrollment, course fees or change your course experience for this offering. It is possible that the closing of the sale and the transfer of the edX platform will be effectuated sometime while this course is running. Please be aware that there could be changes to the edX platform Privacy Policy or Terms of Service after the closing of the sale, although 2U has committed to preserving robust privacy of individual data for all learners who use the platform. For more information see the edX Help Center. In order to continue in the course after the sale, you will need to opt into continuing to use the site under the new ownership. Future offerings of this course will be run on a new MIT platform instead of edX/2U, beginning in 2022-2023.

Syllabus

  1. Time-independent non-degenerate and degenerate perturbation theory
  2. The fine structure of the Hydrogen atom
  3. The semi-classical WKB approximation
  4. Time-dependent perturbation theory
  5. Atoms and light
  6. Charged particles in magnetic fields
  7. The adiabatic approximation
  8. Scattering
  9. Identical particles

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