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1. Course title

Kvanttimekaniikka IIb
Kvantmekanik IIb
Quantum Mechanics IIb

2. Course code


Aikaisemmat leikkaavat opintojaksot 537172 Kvanttimekaniikka IIb, 5 op.

3. Course status: optional

-Which degree programme is responsible for the course?
Master’s Programme in Theoretical and Computational Methods

-Which module does the course belong to?
TCM300 Advanced Studies in Theoretical and Computational Methods
PAP300 Advanced Studies in Particle Physics and Astrophysical Sciences (optional for Study Track in Particle Physics and Cosmology)

-Is the course available to students from other degree programmes?

4. Course level (first-, second-, third-cycle/EQF levels 6, 7 and 8)

Master’s level, degree programmes in medicine, dentistry and veterinary medicine = secondcycle
degree/EQF level 7
Doctoral level = third-cycle (doctoral) degree/EQF level 8

-Does the course belong to basic, intermediate or advanced studies (cf. Government Decree
on University Degrees)?
Advanced studies

5. Recommended time/stage of studies for completion

-The recommended time for completion may be, e.g., after certain relevant courses have
been completed.

6. Term/teaching period when the course will be offered

The course is offered in the spring term, during IV period.

7. Scope of the course in credits

5 cr

8. Teacher coordinating the course

Esko Keski-Vakkuri

9. Course learning outcomes

-Description of the learning outcomes provided to students by the course
- See the competence map (

The student knows the methods of second quantisation in non-relativistic many-body quantum mechanics and can apply these.  The student can quantize free boson and fermion fields. The student can quantize electromagnetic field and apply the theory to describe interaction of quantised matter and radiation.

10. Course completion methods

-Will the course be offered in the form of contact teaching, or can it be taken as a distance
learning course?
-Description of attendance requirements (e.g., X% attendance during the entire course or
during parts of it)
-Methods of completion


Course is completed either by submitted exercise problems and additional exam problems or alternatively by a final exam.

11. Prerequisites

-Description of the courses or modules that must be completed before taking this course or
what other prior learning is required


TCM302 Quantum mechanics IIa

12. Recommended optional studies

-What other courses are recommended to be taken in addition to this course?
-Which other courses support the further development of the competence provided by this

13. Course content

-Description of the course content


Many-particle methods in non-relativistic quantum mechanics

Elements of quantum field theory.

Quantum theory of radiation.

14. Recommended and required literature

-What kind of literature and other materials are read during the course (reading list)?
-Which works are set reading and which are recommended as supplementary reading?

F. Schwabl: Advanced quantum mechanics.

15. Activities and teaching methods in support of learning

-See the competence map (
-Student activities
-Description of how the teacher’s activities are documented


Weekly lectures, independent work of the student, solutions to exercises will be submitted weekly and graded by the teaching assistant. The exercise problems are solved working in groups in tutored exercise sessions and also independently.

16. Assessment practices and criteria, grading scale

-See the competence map (
-The assessment practices used are directly linked to the learning outcomes and teaching
methods of the course.


The grade is determined in a way agreed in the beginning of the course.

17. Teaching language


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