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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.

Skills you'll gain

Engineering Calculations

Applied Mathematics

Estimation

Physics

Mathematical Modeling

Engineering Analysis

Differential Equations

There are 3 modules in this course

This course teaches commonly used approximation methods in quantum mechanics. They include time-independent perturbation theory, time-dependent perturbation theory, tight binding method, variational method and the use of finite basis set. In each case, a specific example is given to clearly show how the method works. At the end of this course learners will be able to: 1. use time-dependent perturbation theory to obtain first- and second -order corrections to energies and wavefunctions, 2. use time-dependent perturbation theory and obtain transition rates, and 3. use tight binding method, variational method and finite basis set to obtain approximate solutions of various quantum mechanics problems.

Time-dependent Perturbation Theory

Other Approximation Methods