Uusi opinto-opas (sisältäen myös opetusohjelmat) lukuvuodelle 2018-2019 sijaitsee osoitteessa https://opas.peppi.utu.fi . Tältä sivustolta löytyvät enää vanhat opinto-oppaat ja opetusohjelmat.

The new study guide (incl. teaching schedules) for academic year 2018-2019 can be found at https://studyguide.utu.fi. This site contains only previous years' guides.

x !
Archived Curricula Guide 2013–2014
Curricula Guide is archieved. Please refer to current Curricula Guides
TFYS7012 Topics in Operational Quantum Physics 8 ECTS
Organised by
Theoretical Physics
Person in charge
Pekka Lahti and Teiko Heinosaari
Preceding studies
Quantum mechanics II (a course on Quantum Mechanics).

Learning outcomes

To learn modern applications of quantum mechanics and to understand its operational axiomatic basis.


The course consists of two equal parts. The first part deals with the mathematical description and properties of states, observables, channels, instruments and measurement models, with numerous examples elucidating the general theory. The second part works out an axiomatic reconstruction of quantum mechanics through the coordinatization of generalized geometries.

Teaching methods

Teaching method Contact Online
Lectures 40 h 0 h
Exercises 20 h 0 h

Teaching language


Modes of study

Option 1
Available for:
  • Degree Programme Students
  • Other Students
  • Doctoral Students
  • Exchange Students
Written exam
  • In English
Written exam


Numeric 0-5.

Recommended year of study

4. year autumn
5. year autumn

Study materials

Heinosaari & Ziman: The Mathematical Language of Quantum Theory.

Beltrametti & Cassinelli: The Logic of Quantum Mechanics.

Varadarajan: Geometry of Quantum Theory.                                                                            

Some review articles.

Further information

Ei luennoida 2013-2014. Luennoidaan syksyllä 2014.

Belongs to following study modules

Department of Physics and Astronomy
Department of Physics and Astronomy
Archived Teaching Schedule. Please refer to current Teaching Shedule.
Implementation details are unavailable.
Department of Physics and Astronomy
DP in Physical Sciences
Finnish Study Modules