spring 2022
FYS-2000 Quantum mechanics - 10 ECTS

Application deadline

Applicants from Nordic countries: 1 June for the autumn semester and 1 December for the spring



Exchange students and Fulbright students: 15 April for the autumn semester and 1 October for the

spring semester.

Type of course

The course is available as a singular course. The course is also available to exchange students and


Admission requirements

Generell studiekompetanse eller realkompetanse + SIVING

Local admission, application code 9391 - enkeltemner i ingeniørfag.

Course overlap

If you pass the examination in this course, you will get an reduction in credits (as stated below), if you previously have passed the following courses:

FYS-113 Quantum mechanics 10 stp

Course content

The course is concerned with the basics of quantum physics starting with the Bohr atomic model and its limitations. Schrödinger equation and wave functions will be introduced and applied to simple quantum mechanical systems in one dimension. Heisenberg's uncertainty relation will be shown as well as the tunneling and the formalism of quantum mechanics. Quantum systems in three dimensions and angular momentum will be described, and finally the hydrogen atom. The spin will be introduced and an explanation for the periodic system. Throughout the course elected examples for quantum effects in modern physics are given.

Recommended prerequisites

FYS-1001 Mechanics, MAT-1003 Calculus 3, MAT-1004 Linear algebra

Objectives of the course

Knowledge: The student is able to

  • describe the strength and limitations of Bohr's atomic model;
  • describe the Schrödinger equation, wave functions and their physical interpretation;
  • describe stationary and non-stationary states, as well as expectation values;
  • describe the concepts of spin and angular momentum in quantum physics.


Skills: The student is able to

  • use the Schrödinger equation to describe simple one-dimensional systems
  • use the solution to compute probabilities, expectation values, uncertainties and time evolution of the systems
  • explain the structure of the periodic system of the elements


General expertise: The student is able to

  • understand the role of measurements in quantum systems
  • the wave-particle duality of photons
  • the role of quantum effects to explain physical phenomena of modern physics

Language of instruction and examination

The language of instruction is English and all of the syllabus material is in English. Examination questions will be given in English, but may be answered either in English or a Scandinavian language.

Teaching methods

Lectures: 50 hours

Exercises: 30 hours

Information to incoming exchange students

This course is open for inbound exchange students.

Do you have questions about this module? Please check the following website to contact the course coordinator for exchange students at the faculty: INBOUND STUDENT MOBILITY: COURSE COORDINATORS AT THE FACULTIES | UiT


Coursework requirements:

  • Up to 4 mandatory assignments.

Access to the examination requires submitting and passing the mandatory assignments. Approved course work requirement from previous years gives access to the final examination.


  • A 4 hour written exam counting 100%.

Assessment scale: Letter grades A - F. A is the highest grade, F is failed.

Re-sit examination: Students having failed the last ordinary examination are offered a re-sit examination early in the following semester.

Recommended reading/syllabus

Pensumliste for FYS-2000 Quantum Mechanics
  • About the course
  • Campus: Tromsø |
  • ECTS: 10
  • Course code: FYS-2000