Applications of Quantum Mechanics (edX)

Applications of Quantum Mechanics (edX)
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Learners should be familiar with quantum mechanics at the level of 8.05x Mastering Quantum Mechanics
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Applications of Quantum Mechanics (edX)
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.

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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.


What you'll learn

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


Syllabus


- 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

- Scattering

- Identical particles



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Course Auditing
83.00 EUR
Learners should be familiar with quantum mechanics at the level of 8.05x Mastering Quantum Mechanics

MOOC List is learner-supported. When you buy through links on our site, we may earn an affiliate commission.