Quantum Mechanics, Advanced Course

10 credits

Syllabus, Master's level, 1FA352

A revised version of the syllabus is available.
Education cycle
Second cycle
Main field(s) of study and in-depth level
Physics A1N, Quantum Technology A1N
Grading system
Fail (U), Pass (3), Pass with credit (4), Pass with distinction (5)
Finalised by
The Faculty Board of Science and Technology, 2 February 2022
Responsible department
Department of Physics and Astronomy

Entry requirements

120 credits with Mechanics III and Quantum Physics/Quantum Physics for Engineering, Linear Algebra and Multidimensional Analysis. Proficiency in English equivalent to the Swedish upper secondary course English 6.

Learning outcomes

On completion of the course, the student should be able to:

  • perform theoretical studies and calculations with applications on atomic and subatomic phenomena.
  • evaluate experimental results in terms of quantum mechanics
  • account for its potential applications in emerging technologies


Advanced study in quantum mechanics based on the Dirac formalism with bra and ket vectors, operators and observables. Position and momentum space representations. Schrödinger and Heisenberg pictures. The harmonic oscillator with creation and annihilation operators. Operators for translation, time evolution and rotation. Quantisation and addition of angular momenta. Tensor operators. Symmetries and gauge transformations.

Time-independent and time-dependent perturbation theory. Basic scattering theory. Basic interpretation of quantum mechanics with its experimental verification via Bell's inequality and violation against Einstein's local realism and theories with hidden variables. Entangled states. Examples of applications in nuclear and particle physics, materials research and information technologies. Quantum technology now and in the the future; quantum information and applications such as quantum optics, optoelectronics or spinbased technology. 

Laboratory exercises / miniprojects within for example: Simulation and graphical visualisation of scattering processes and quantum technology. Work in project form with an introduction to ethics, plagiarism and cheating, and equal opportunities with respect to the Discrimination Act.


Lectures and classes. Guest lectures on quantum mechanics in emerging technologies.

Lab exercises in connection to above theoretical parts.


Written exam at end of course (4 credits). Written mid term examination (3 credits). Laboratory exercises / projects (3 credits).

If there are special reasons for doing so, an examiner may make an exception from the method of assessment indicated and allow a student to be assessed by another method. An example of special reasons might be a certificate regarding special pedagogical support from the disability coordinator of the university.