Course content

The course delves into further expositions of the features of quantum mechanics encountered in the previous introductory course, FYS3110 – Quantum Mechanics, such as non-commutativity and quantization, measurement and quantum jumps, identical particles, and phase factor. In addition, we introduce important fundamental concepts such as density matrices, entanglement entropy and open quantum systems. The focus will be on a more mathematical understanding of quantum foundations, and the rich phenomena in various arenas of quantum mechanics.?

Learning outcome

After finishing the course you will:?

  • get an understanding of the foundations of quantum mechanics such as decoherence, the EPR paradox and Bell’s inequality, and become familiar with different concepts in quantum information.?

  • be able to use the density matrix formalism and the Lindblad equation to describe mixed states and open quantum systems.?

  • charactrize bipartite entanglement between two subsystems of a system in a pure state using the Schmidt decomposition.??

  • be able to apply the knowledge of coherent states, selection rules and Fermi’s golden rule to study the interplay between atoms and photons, including spontaneous and stimulated emission processes.?

  • understand the role of the geometric phase in adiabatic evolution and its consequences in topological phenomena like the quantum Hall effect.?

Admission to the course

Students admitted at UiO must?apply for courses?in Studentweb. Students enrolled in other Master's Degree Programmes can, on application, be admitted to the course if this is cleared by their own study programme.

Nordic citizens and applicants residing in the Nordic countries may?apply to take this course as a single course student.

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

Overlapping courses

Teaching

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

One mandatory exercise must be approved before you can sit the final exam.

Examination

  • Final written?exam (4 hours) which counts 100 % towards the final grade.

This course has mandatory exercises that must be approved before you can sit the final?exam.

When writing your exercises make sure to familiarize yourself with the?rules for use of sources and citations.?Breach of these rules may lead to suspicion of?attempted cheating.

It will also be counted as one of the three attempts to sit the exam for this course, if you sit the exam for one of the following courses: ?FYS9110 – Modern Quantum Mechanics

Examination support material

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.

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.

More about examinations at UiO

You will find further guides and resources at the web page on examinations at UiO.

Last updated from FS (Felles studentsystem) June 1, 2025 6:13:10 PM

Facts about this course

Level
Master
Credits
10
Teaching
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.

Examination
Autumn
Teaching language
Norwegian (English on request)

Contact

Department of Physics