This course can also be taken for academic credit as ECEA 5612, part of CU Boulder’s Master of Science in Electrical Engineering degree.
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Approximation Methods
This course is part of Quantum Mechanics for Engineers Specialization
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Instructor: Wounjhang Park
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What you'll learn
Distinguish non-degenerate and degenerate cases and use appropriate methods.
Perform calculations using the time-independent perturbation theory.
Describe absorption and stimulated emission processes.
Obtain approximate solutions using the variational method.
Details to know
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1 quiz, 2 assignments
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There are 3 modules in this course
In this module we will introduce the course on approximation methods commonly used in quantum mechanics and then discuss time-independent perturbation theory. We will first discuss non-degenerate perturbation theory and derive useful formulas for the first- and second-order corrections. We will then discuss degenerate perturbation theory. We will also discuss specific examples where the various perturbation methods are used - Stark effect, fine structure and Zeeman effect.
What's included
8 videos4 readings1 assignment2 discussion prompts
In this module, we will introduce interaction picture and derive time evolution equations. After discussing a simple but illuminating example of two-state system, we develop time-dependent perturbation theory and discuss the probability of transitions between quantum states induced by external perturbation.
What's included
5 videos3 readings1 assignment1 peer review
This module covers several non-perturbative approximation methods. They are the tight binding method, variational method and the use of finite basis set.
What's included
3 videos3 readings1 quiz1 discussion prompt
Instructor
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