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Physik-Institut

PHY322 Mathematical Methods of Physics II

General Information

Lecturer: Prof. Philippe Jetzer - Y36 K82
Assistants:

Dr. Michael Ebersold - Y36 K34

Weijie Feng - Y36 K48

Dr. Peter Meinzinger - Y36 K42

Lecture

  • Time & Venue:  Tuesday 13:00 - 13:45 at Y03 G91; Wednesday 13:00 14:45 at Y16 G05.
  • Lecture notes:
    MMP1.pdf (PDF, 930 KB), last updated on 26 March 2025;
    MMP2.pdf (PDF, 978 KB), last updated on 26 March 2025.

    Relevant Chapters for This Course:

  • MMP1: Differentialgleichungen (Kapitel 3)

  • MMP1: Distributionen (Kapitel 7)

  • MMP1: Elliptische Differentialgleichungen, die Green'sche Funktion (Kapitel 8)

  • MMP2: Lineare gewöhnliche Differentialgleichungen (Kapitel 2)

  • MMP2: Darstellungstheorie (Kapitel 3)

Exercises

Exercise sheets will be published each Monday, starting from 17th of February. The hints will be given in the tutorials, and the solutions will be discussed in the tutorial of the week after.

It is strongly recommended for the students to go at least once to the blackboard to solve the assigned exercise during the exercise session.

Submission: through the OLAT page of the course. Deadline: 12:00 on Fridays.

Sheet 01 (PDF, 141 KB)
Sheet 02 (PDF, 155 KB)
Sheet 03 (PDF, 84 KB)

Sheet 04 (PDF, 172 KB)
Sheet 05 (PDF, 141 KB)
Sheet 06 (PDF, 115 KB)

Tutorial:

  • Venue: Y36 K08
  • Time: Tuesday 14:00 - 15:45, starting from 25th of February

Exam

General Information

Time: 09:00 - 12:00, 24th June, 2025.

Venue: Y15 G20.

Form of Exam: Written; open-book; printed materials allowed; no electronic devices allowed.

Conditions to attend the exam: 60% of the exercises assigned during the course must be delivered and carried out correctly.

Bibliography

  • R. Courant and D. Hilbert, Methoden der Mathematischen Physik I, Springer-Verlag 1968 (Methods of Mathematical Physics, Interscience 1953 - 3 Bände)
  • E. Whittaker and G. Watson, A Course of Modern Analysis, Cambridge University Press 1995
  • G.B. Arfken and H.J. Weber, Mathematical Methods for Physicists, Academic Press, Inc. 1995
  • E. Stiefel, Methoden der Mathematischen Physik I und II, Verlag der Fachvereine an der ETHZ 1973
  • W. Walter, Gewöhnliche Differentialgleichungen (Eine Einführung), Springer-Verlag 1976
  • H. Cartan, Elementare Theorien der Analytischen Funktionen einer oder mehreren Komplexen Veränderlichen, BI Hochschultaschenbücher Band 112, 1966
  • Serge Lang, Complex Analysis, Springer Verlag 1993
  • L.V. Ahlfors, Complex Analysis, 2nd ed. 1966
  • J.F. Cornwell, Group theory in physics, Academic Press 1984
  • H. Weyl, The classical groups, their invariants and representations, Princeton University Press, 1961