PHY322 Mathematical Methods of Physics II

General Information

Lecturer: Prof. Adrian Signer
Assistants:

Tim Engel - PSI

Lukas Fritz - PSI

Fiona Kirk - PSI

Tong-Zhi Yang - UZH (Y36 K44)

   
Lectures:

Tuesday, 13:00 - 14:45, on Zoom
Wednesday, 13:00 - 14:45, on Zoom

Exercises:

Tuesday, 15:00 - 16:45, on Zoom

Announcements

The current arrangements for MMP II are given below. Please check regularly for updates.

The lectures will start in week 8 (beginning Feb. 22) and will be held via Zoom. The meeting Id and password will be sent by email to all students registered for the lecture. No podcast will be produced any longer, but it is planned to record the lectures via Zoom.

 

Exam

The exam will take place on Monday 28.06.2021 from 9:00-12:00.

It will be an online exam, using the I-Math remote-exam tool

If you cannot find a place with a suitable internet connection, you may sit the exam in Y03-G-95. To do so, you must register by sending an email to adrian.signer@psi.ch before Monday 21.06.2021, 14:00.

For the exam you are allowed to use the lecture notes provided and 3 sheets (6 pages) A4 handwritten notes. No calculators or other tools are allowed.

 

Exercise Classes

Exercises will be published on the webpage by Monday and are to be handed in through OLAT the following Monday.

The exercise classes will be held only on Zoom with meeting ID 929 3059 4444 and password 1234. The Zoom sessions will be recorded.

 

Exercise Set Given on To hand in by Answers
Set 0 (PDF, 116 KB) 22.02.2021 never Solution 0 (PDF, 1 MB)
Set 1 (PDF, 114 KB) 01.03.2021 08.03.2021 Solution 1 (PDF, 3 MB)
Set 2 (PDF, 133 KB) 08.03.2021 15.03.2021 Solution 2 (PDF, 1 MB)
Set 3 (PDF, 49 KB) 15.03.2021 22.03.2021 Solution 3 (PDF, 1 MB)
Set 4 (PDF, 128 KB) 22.03.2021 29.03.2021 Solution 4 (PDF, 2 MB)
Set 5 (PDF, 127 KB) 29.03.2021 12.04.2021 Solution 5 (PDF, 2 MB)
Set 6 (PDF, 154 KB) 12.04.2021 19.04.2021 Solution 6 (PDF, 188 KB)
Set 7 (PDF, 129 KB) 19.04.2021 26.04.2021 Solution 7 (PDF, 3 MB)
Set 8 (PDF, 206 KB) 26.04.2021 03.05.2021 Solution 8 (PDF, 3 MB)
Set 9 (PDF, 115 KB) 03.05.2021 10.05.2021 Solution 9 (PDF, 2 MB)
Set 10 (PDF, 139 KB) 10.05.2021 17.05.2021 Solution 10 (PDF, 763 KB)
Set 11 (PDF, 124 KB) 17.05.2021 24.05.2021 Solution 11 (PDF, 2 MB)
Set 12 (PDF, 131 KB) 24.05.2021 31.05.2021 Solution 12 (PDF, 1 MB)

 

Plan

Chapter 08: Intermezzo
Chapter 09: Abstract spaces
Chapter 10: Linear Operators in Hilbert Spaces
Chapter 11: Group Theory
Chapter 12: Coordinate Transformations and Tensors (time permitting)

Lecture notes

Course Part Date Lecture Notes
Chapter 8 22.02.2021 Intermezzo
Chapter 9 08.03.2021 Hilbert spaces
Chapter 10 12.04.2021 Operators in Hilbert space
Chapter 11 12.04.2021 Groups (no script)
Chapter 12 01.06.2021 Tensors (PDF, 2 MB)
     
     
     
     

Bibliography

  • G.B. Arfken and H.J. Weber, Mathematical Methods for Physicists, Academic Press, Inc. 1995
  • S. Hassani, Mathematical Physics, A Modern Introduction to its Foundations, Springer

  • S. Grossmann, Funktionalanalysis, Springer
  • E. Kreyszig, Functional Analysis with Applications, Wiley

  • Wu-Ki Tung, Group Theory in Physics, World Scientific
  • J. F. Cornwell, Group Theory in Physics, Academic Press 1984