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, 30 August 2018
Responsible department
Department of Physics and Astronomy

Entry requirements

120 credits with Quantum Physics or an equivalent introductory course in quantum physics/mechanics, Linear Algebra and Multidimensional Analysis.

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. Applications in nuclear and particle physics, and in neutron and synchrotron light scattering and its importance for modern materials analysis. 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. Quantum technology now and in the the future, quantum information and quantum optics (qubits, quantum computers and algorithms).

Laboratory exercises / miniprojects within for example:

1. Spectroscopy on molecules (for example with ESCA).

2. Simulation and graphical visualisation with MATLAB of scattering processes.

3. Quantum technology.

4. Numerical solution of atomic radial wave functions with MATLAB.


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 with theory and calculation problems. To pass the course also requires accepted laboratory exercises / projects.

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.