Molekülphysik 1
1. Mechanische Eigenschaften
2. Moleküle in elektrischen und magnetischen Feldern
3. Massenspektroskopie
4. Molekülspektren
5. Große Moleküle, Biomoleküle, Übermoleküle
Festkörperphysik 1
1. Kristallstrukturen
2. Beugung an periodischen Strukturen
3. "Freie" Elektronen in Festkörpern und Bandstrukturen
4. Halbleiter
- Trainer/in: Jan Bauer
- Trainer/in: Jörg Schnauß
Very tentative, and quite overambitious plan for mathematics 4 for physics
2. Fourier series and Fourier transform: basics, including inversion formula and the Schwarz class, uncertainty principle, Bernstein inequality and Sobolev spaces, multipliers and singular integrals, Littlewood-Paley decomposition, distributions
3. Partial differential equations: (method of characteristics was in math3, so transport done in particular), Fourier methods, three classical equations (Laplace, heat, wave), Laplace transform, weak solutions and abstract methods (Lax-Milgram, Fredholm), energy methods, calculus of variations
4. Functional analysis: open mapping/closed graph theorem, Hahn-Banach theorem, bounded operators in Hilbert spaces with spectral theory, densely defined unbounded operators, semigroups of operators with applications to evolutionary problems
-Stein, Shakarchi: Complex analysis
-Duoandikoetxea: Fourier analysis
-Tao’s notes in Fourier Analysis 254A
-Evans: PDEs
-Rudin: Functional Analysis (with its distribution theory)
- Trainer/in: Jan Burczak
Digitale Materialien zum Modul Fachdidaktik 3.1 (Lehramt Physik)
- Trainer/in: Helena Franke
- Trainer/in: Kilian Peisker
- Trainer/in: Peter Rieger