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, 12:15-15:00
• Exam results: The results can be found here. If your number is not listed, please contact us.
• Exam viewing date: Monday, 9th of March, 2020, 10:15-12:00
• Retake exam date: Due to the Corona virus crisis, we found it challenging to offer a retake exam.
  
  This will now take place on October 26, 2020, 10:00-12:00, in the Bibliothek ohne Bücher
  
  
• 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 <nelly.hy.ng(at)gmail.com>
- Augustine Kshetrimayum <augustine.kshetrimayum(at)fu-berlin.de>
- Marcel Goihl <mgoihl(at)physik.fu-berlin.de>
 
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 sheets will 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

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• 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

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