Analytical Tools for Quantum Many-Body Physics

This course will be presented in a hybrid format. The course language is English. The first lecture will take place on October 14, 2025.

The course hours are: Tuesday, 09:20 - 10:50 and Wednesday, 11:10 - 12:40 in Room BZW/A120.
Online participants can follow live via the zoom link:

https://tu-dresden.zoom-x.de/j/66304760556?pwd=Z3ChsgC8qEKfjgsK08xT8Tzmoai2EU.1

Lecture notes and homework problems will be uploaded here via OPAL.

Selection of relevant course literature:

[1] G. D. Mahan, "Many-Particle Physics", (Springer 2000).
[2] A. M. Zagoskin, "Quantum Theory of Many-Body Systems", (Springer 1998).
[3] J. Rammer, "Quantum Field Theory of Non-Equilibrium States", (Cambridge 2007).
[4] G. Stefanucci, R. van Leeuwen, "Nonequilibrium Many-Body Theory of Quantum Systems", (Cambridge 2013).
[5] T. Giamarchi, "Quantum Physics in One Dimension", (Oxford 2003).
[6] J. von Delft, H. Schoeller, "Bosonization for beginners — refermionization for experts", Annalen Phys. 7 (1998) 225-305.
[7] H. Grabert, Transport in single channel quantum wires, arXiv:cond-mat/0107175 (2001).
[8] F. Dolcini et al., "Transport properties of single-channel quantum wires with an impurity: Influence of finite length and temperature on average current and noise", Phys. Rev. B 71, 165309 (2005).