Universität Leipzig

Quantum Mechanics (12-PHY-BIPTP4),
summer term 2016


Prof. Dr. R. Verch
ITP, Universität Leipzig
Brüderstr. 14-16
Phone: +49 341 97 32423

Dr. T.-P. Hack
ITP, Universität Leipzig
Brüderstr. 14-16
Phone: +49 341 97 32444


The results of the retake exam (Wiederholungsprüfung) can now be seen here

The marked exams can be viewed at Dr. Hack's office on Tue 29 Nov 14.00-16.00. Please contact Dr. Hack beforehand if you would like to view the exam.
When viewing the exams, you must not write on the marked exam, and you are not allowed to make a photocopy or to take pictures of it. You can take notes, but you must only use pencil when doing so.

Zeiten/Orte der Lehrveranstaltungen /
Times and Locations of Lectures and Classes

Prof. Dr. R. Verch
Mon 13:30-15:00, ITP, Brüderstr. 16, Room 210 (2nd floor)
Thu 09:00-10:30, ITP, Brüderstr. 16, Room 210 (2nd floor)

Übungen/Exercise Class
Dr. T.-P. Hack
Wed 14:00-15:30 , ITP, Brüderstr. 16, Room 210 (2nd floor)

Empfehlenswerte Literatur/Recommended Literature:

  • S. Gasiorowicz: Quantum Physics, Wiley, 3rd Ed, 2003
  • D.J. Griffiths: Introduction to Quantum Mechanics, Pearson Prentice Hall, 2nd Ed, 2004
  • A. Galindo, P. Pascual: Quantum Mechanics I (+ II), Springer TMP, 1990
  • A. Messiah: Quantum Mechanics I (+ II) (new editions have the originally two volumes bound in one),
    Dover Publications, 2014
  • A. Peres: Quantum Theory - Concepts and Methods, Kluwer, 1996
  • M. LeBellac: Quantum Physics, CUP, 2006
  • G. Auletta, M. Fortunato, G. Parisi: Quantum Mechanics, CUP, 2009

  • Mathematical literature
  • V. Moretti: Spectral Theory and Quantum Mechanics, Springer Unitext, 2013.
    A very nice book on many aspects of Hilbert space mathematics in quantum mechanics. Carefully done with many good explanations. Certainly the material extends what is required for a 1st course in QM.
  • P. Blanchard, E. Brüning: Mathematical Methods in Physics, Springer, 2003
    A well written book, covering Fourier transforms, distributions, Hilbert space mathematics and variational methods. Very recommendable.

  • Further Material
    The uncertainty relations for position and momentum have been presented in the lecture to refer to the source/state and not to the measurement. This is the standard (and in a sense minimal) interpretation. There is some discussion in the literature on uncertainty relations that refer to the measurement. A nice recent paper on this matter is
    P. Busch, P. Lahti, R. F. Werner``Measurement uncertainty relations'', Journal of Mathematical Physics 55, 042111 (2014) , arXiv:1312.4392
    While this may be somewhat too advanced for beginning QM students, I am sure many of you will be able to understand most of this paper towards the end of the course.

    Problem Sheets

  • 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