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Schedule
Requirements
Literature
Teachers

Physics Education Department of Physics LTH
Lund University

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Quantum Mechanics
FYSN17/FMFN01
(7.5 HP)


HT2020, INFORMATION COVID-19

Due to the covid-19 crisis all lectures in HT20 will unfortunately have to be online, following the official recommendations. The link to the lectures will be sent out by email to all registered participants. If you are not properly registered and do not have the link to canvas, send an email to reimann@matfys.lth.se for further directions. Please contact administration if you are not yet properly registered. The introductory meeting will be in the beginning of the first online lecture, Wednesday Sept. 2, 10:15-12:00.
Please note - this page is now replaced by Canvas and will not be updated any longer.

General information

The course will be given in English.

Aim of the course

The 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 particle physics.

Content
  • Formulation of quantum mechanics in term of general state vectors and operators
  • Algebraic treatment of the harmonic oscillator (in one and several dimensions)
  • Angular momentum and spin
  • Perturbation theory
  • Outlook on many-body quantum physics
Syllabus (preliminary!):
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 old exams

Expected previous knowledge

Basic knowledge (about 5-7 points) in quantum mechanics from different introductory courses

Course structure
The basic material is studied by a combination of lectures,
self-study, and exercises.
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 common workshop.

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 downloaded here.

SUMMARY SLIDES  can be downloaded here.

EXERCISES

WARM-UP EXERCISES for the first week and Solutions
Exercises for
WEEK 2 and Solutions
WEEK 3 and Solutions
WEEK 4 and Solutions
WEEK 5 and Solutions
WEEK 6 and Solutions
WEEK 7 and Solutions
Formula sheet
- Note: You'll get a fresh copy of this formula sheet in the exam, you're not allowed to bring your own.
 
OLD EXAMPLE EXAM from 2014 and SOLUTIONS
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).