The course will be given in
Aim of the course
course shall deepen previous knowledge in quantum mechanics
and teach the student to handle typical problems in different
fields such as atomic, nuclear, solid-state, or elementary
- Formulation of quantum mechanics in term of general state
vectors and operators
- Algebraic treatment of the harmonic oscillator (in one and
- Angular momentum and spin
- Perturbation theory
- Outlook on many-body quantum physics
week 1 repetition; fundamentals,
bra-ket notation, bases, operators
week 2-3 matrix representation,
subspaces, continuous state spaces, eigenvalues, diagonalization
week 3 harmonic oscillator, step
operators, shell structure
week 4 angular momentum
week 5 spin
START PROJECT WORK
week 6 perturbation theory
week 7 summary and going through
Expected previous knowledge
knowledge (about 5-7 points) in quantum mechanics from different
The basic material is studied by a combination of lectures, self-study, and
There will be exercise lessons (with possibility for individual help and instruction) twice per week.
The project work will
be performed in small groups of up to four students.
Towards the end of the course, each group shall present their
project to their fellow students, giving a short talk at a
Attendance to the whole workshop, and active participation in the
project presentation, is mandatory.
There is a written exam at the end of the course. Changes subject to covid-19 are possible.
LECTURE NOTES can be
SUMMARY SLIDES can be
WARM-UP EXERCISES for the first
week and Solutions
WEEK 2 and Solutions
WEEK 3 and Solutions
WEEK 4 and Solutions
WEEK 5 and Solutions
WEEK 6 and Solutions
7 and Solutions
sheet - Note: You'll get a fresh copy of this
formula sheet in the exam, you're not allowed to bring your
OLD EXAMPLE EXAM from 2014 and
OLD EXAMPLE EXAM from 2012 and SOLUTIONS
In addition, the following books are recommended as a primary
source to read up on the material:
- "Quantum Mechanics" by B. H. Bransden & C.
J. Joachain, 2nd Edition,
(Longman, New Jersey, 2000) ISBN 0582356911.
- "Modern Quantum
Mechanics" by J. J. Sakurai, Pearson Education, Upper
Saddle River, 2010, ISBN 9781292024103
(older edition from 1994 is equally fine).