Winter term 2019/20

Wintersemester 2019/2020:

Lecture: Advanced quantum mechanics (20104301)

  • Lecturer: Jens Eisert
  • Time and date: Wednesday 12:15-14:00, Friday 10:15-12:00 (starting on October 16)
  • Exam date: Wednesday, 12th of February, 2020, 12:14-14:00
  • Second exam date: Tba
  • Room: 1.3.14 (Hörsaal A)

  • Topic: This course is aimed at giving a comprehensive introduction to advanced quantum mechanics. This can mean many things: For us, this will primarily mean that we are concerned with quantum many-body theory: Quantum systems with many degrees of freedom show a rich and fascinating physics, ranging from superconductivity, superfluidity to critical phenomena. We will start from basic quantum mechanics and move on to the study of identical particles and their implications in quantum many-body theory. Interacting systems will feature as well. To be compatible with other courses that are referred to as being advanced quantum mechanics courses, we will also discuss notions of scattering theory and elements of relativistic quantum mechanics.

Tutorials (20104302): There will be tutorials held that accompany this course. The three tutors are:

- Nelly Ng <>
- Augustine Kshetrimayum <augustine.kshetrimayum(at)>
- Marcel Goihl <mgoihl(at)>
The tutorials will be held at the subsequent times and locations: 

- Tuesday 16:15-18:00 (Seminarraum E1)
- Wednesday 14:15-16:00 (Seminarraum T1)
- Friday 8:30-10:00 (Seminarraum T2)

Homework sheetswill be made available here.

Please hand in on time, meaning Friday before 10.15 h. Starting from Sheet 2 if you hand in too late, we will multiply the achieved points by 2^(-t/45), where t is the difference of the time of handing in to 10.15 h in minutes. 

- Sheet 0

- Sheet 1

- Sheet 2

- Sheet 3

- Sheet 4

- Sheet 5

- Sheet 6

- Sheet 7

- Sheet 8

- Sheet 9

- Sheet 10

- Sheet 11

- Sheet 12

- Sheet 13


  • Lecture notes: There will be lecture notes coming along with this lecture. However, they will be growing along the course and made sequentially available.

    Chapter 0: Introduction
    Chapter 1: Elements of quantum theory
    Chapter 2: Identical particles
    Chapter 3: Elements of second quantization
    Chapter 4: Field operators
    Chapter 5: Fermi gases
    Chapter 6: Superfluids
    Chapter 7: Superconductors
    Chapter 8: Lattice models and strongly correlated systems
    Chapter 9: Tensor networks