Quantum Field Theory & Many Body Systems SoSe 2024
Aktuell: Bitte im Whiteboard für eine der Übungen eintragen!
Lectures: Mo 10-12 and Th 10-12 (Hörsaal B)
Tutorials: Th 12-14 (starting April 25; Seminar room 1.4.31) and Fr 10-12 (starting April 26; Seminar room 1.4.31)
Exam: Th July 18, 2024 at 10-12
Make-up exam: Th Oct 11, 2024 at 10-12 (prelim)
Problem sets: made available online on Mondays and to be turned in by the following Monday BEFORE the beginning of class.
Problem sets
set 3 solution
set 4 solution
set 5 solution
set 6 solution
set 7 solution
set 8 solution
set 9 solution
set 10 solution
set 11 solution
set 12 solution
Lecture notes
Chapter 1: Quantum mechanics - path integrals, second quantization, coherent state functional integrals: bosons and fermions, linear response and Green functions
Chapter 2: Statistical physics - classical spin models, mean-field approximation, Landau theory, free fermions and bosons, quantum spin models, quantum-classical mapping
Chapter 3: Application - Dissipation in quantum mechanics
Chapter 4: Linear harmonic chain - classical and quantum statistics, short- and (quasi)-long-range order, Mermin-Wagner theorem
Chapter 5: Interacting bosons - superfluidity
Chapter 6: Quantum phase transitions - quantum Ising model, exact solution, Bogoliubov transformation
Chapter 7: Interacting fermions - jellium model and screening, excitonic insulators, BCS theory of superconductivity
Chapter 8: Some basics of gauge theory
Chapter 9: Selected topics: bosonization, charge-flux attachment and fractional quantum Hall systems, toric code as time permits