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PDE Methods in Condensed Matter Physics
Last Updated: 2026-02-05 16:14:47
Content
We will cover the following topics: •Magnetic Hamiltonian of the free electron; Landau levels, derivation of de Haas–van Alphen oscillations in that case. •Spectral theory of periodic structures, band theory. •Berry phase, curvature, Chern numbers, and the quantum Hall effect. •2D crystals in magnetic fields and the Peierls substitution; semiclassical study of the de Haas–van Alphen effect. •Semiclassical derivation of the tight binding model. •Introduction to many-body interactions and the language of second quantization.
General Information
- Language
- English
- Levels
- MSC
Examination
- Type
- session examination
- Mode
- oral 20 minutes
Course Components
| Type | Title | Time & Place | Hours |
|---|---|---|---|
| lecture | PDE Methods in Condensed Matter Physics |
|
2 h weekly |
Offered In
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Electives (For the Master's degree in Applied Mathematics the following additional condition (not manifest in myStudies) must be obeyed: At least 14 of the required 26 credits from core courses and electives must be acquired in areas of applied mathematics and further application-oriented fields.)
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