Schedule, syllabus and examination date

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Course content

The course gives an introduction to some advanced topics in nonrelativistic quantum mechanics. We discuss three main topics: Basic formalism and the probabilistic interpretation of quantum mechanics, with emphasis on entanglement and the EPR paradox. Quantum systems as information carriers and how this is used in communication and quantum computing. The interaction between and quantized fields (photons), which gives the possibility to discuss spontaneous and stimulated emission, illustrated by the principles of lasers.

Learning outcome

After finishing the course:

  • You will have insight in “modern” aspects of quantum mechanics, including quantum coherence, coherent interaction between atoms and photons, and quantum entanglement.

  • You will be able to use the density matrix formulation and study the relation between quantum subsystems and a total quantum state.

  • You have deep knowledge of the difference between classical correlations and quantum entanglement.

  • You can apply the quantum mechanical description of photons on elementary radiation processes.

  • You have knowledge of the basic concepts in quantum information theory and how these can be applied in quantum computers.

  • You have knowledge of geometrical structures in the Hilbert space and geometric phases in adiabatic change of state.


PhD candidates from the University of Oslo should apply for classes and register for examinations through Studentweb.

If a course has limited intake capacity, priority will be given to PhD candidates who follow an individual education plan where this particular course is included. Some national researchers’ schools may have specific rules for ranking applicants for courses with limited intake capacity.

PhD candidates who have been admitted to another higher education institution must apply for a position as a visiting student within a given deadline.

Overlapping courses

10 credits overlap with FYS4110 – Modern Quantum Mechanics


The course is given for a full semester with 6 hours teaching every week (lectures and problem solving).


A midterm exam consisting of a home assignment, with 20% weight. Midterm exam must be passed to take the final exam. Final written exam, 4 hours.  The final exam will have 80% weight on the final grade.

Examination support material

  • Approved calculator
  • Rottman: "Matematisk formelsamling"
  • Øgrim and Lian or Angell and Lian: "Fysiske størrelser og enheter"

Language of examination

Subjects taught in English will only offer the exam paper in English.

You may write your examination paper in Norwegian, Swedish, Danish or English.

Grading scale

Grades are awarded on a pass/fail scale. Read more about the grading system.

Explanations and appeals

Resit an examination

Students who can document a valid reason for absence from the regular examination are offered a postponed exam at the beginning of the next semester.

New examinations are offered at the beginning of the next semester for students who do not successfully complete the exam during the previous semester.

We do not offer a re-scheduled exam for students who withdraw during the exam.

Withdrawal from an examination

It is possible to take the exam up to 3 times. If you withdraw from the exam after the deadline or during the exam, this will be counted as an examination attempt.

Special examination arrangements

Application form, deadline and requirements for special examination arrangements.


The course is subject to continuous evaluation. At regular intervals we also ask students to participate in a more comprehensive evaluation.


The course changed its title from "Non-relativistic quantum mechanics" to "Modern quantum mechanics" from Autumn 2015. The course content is unchanged.

Facts about this course






Every autumn

If the course is offered, a minimum of four students is required for ordinary lectures to take place. If less than four students participate, an exam will be given, but one should not expect ordinary teaching.


Every autumn

Teaching language

Norwegian (English on request)