Schedule, syllabus and examination date

Choose semester

Course content

This is an intermediate course in quantum mechanics. Its focus is on how to formulate quantum mechanical calculations. The course starts with the Dirac-notation and the fundamental postulates. Then several important exactly solvable systems are treated. Finally introductions are made to various approximation methods.

Learning outcome

After this course you will:

  • master the central concepts of quantum mechanics and its fundamental postulates, master the Dirac-notation, and know how to calculate time development and measurement results with associated probabilities for pure quantum states.
  • know how some important quantum systems can be solved exactly using ladder operators, and how to use these to carry out calculations.
  • know how to treat spin-1/2 systems quantitatively, and construct and calculate properties of composite spin states.
  • know how to formulate and solve simple composite quantum mechanical systems with several degrees of freedom, and use symmetries to simplify. 
  • be able to apply fundamental quantum mechanical calculational methods such as the variational method, stationary and time-dependent perturbation theory, and scattering theory.
  • have knowledge about spontaneous and stimulated emission/absorption, selection rules, Slater determinant, bosons/fermions, energy levels and eigenfunctions of periodic structures, and atomic fine- and hyperfine-structure.


Students who are admitted to study programmes at UiO must each semester register which courses and exams they wish to sign up for in Studentweb.

If you are not already enrolled as a student at UiO, please see our information about admission requirements and procedures.


Formal prerequisite knowledge

In addition to fulfilling the Higher Education Entrance Qualification, applicants have to meet the following special admission requirements:

  • Mathematics R1 (or Mathematics S1 and S2) + R2

And in addition one of these:

  • Physics (1+2)
  • Chemistry (1+2)
  • Biology (1+2)
  • Information technology (1+2)
  • Geosciences (1+2)
  • Technology and theories of research (1+2)

The special admission requirements may also be covered by equivalent studies from Norwegian upper secondary school or by other equivalent studies (in Norwegian).

Recommended previous knowledge

Overlapping courses

Information about overlapping courses may not be complete. Contact the Department of Physics if you require more information,


There are 7 hours of classes per week (4 hours of lectures, and 2+1 hours of exercises). Classes are held throughout the semester, and will include 12 weekly assignments.

To be eligible for the final exam you must both pass, and help correct at least three of the six first weekly assignments, and at least three of the last six weekly assignments.

Regulations for mandatory assignments can be found here.


One written home exam (25% weight). Final written exam, 4 hours, (75% weight). Both must be passed in order to pass the course.

To be eligible for the final exam you must both pass, and help correct at least three of the six first weekly assignments, and at least three of the last six weekly assignments.

Examination support material

  • Approved calculator
  • Rottmann: "Matematisk formelsamling"
  • Specified notes, handed out in lectures
  • One handwritten A4 page with notes (2 pages)
  • Textbook: D.J. Griffiths "Introduction to Quantum Mechanics"

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 scale from A to F, where A is the best grade and F is a fail. 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 examination at the beginning of the next semester.

Re-scheduled examinations are not offered to students who withdraw during, or did not pass the original examination.

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.

Facts about this course






Every autumn


Every autumn

Teaching language

Norwegian (English on request)