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* Retrieved from Course syllabus FSH3313 (Spring 2019–)

Content and learning outcomes

Course contents

Hohenberg-Kohn theorem

Hellmann-Feynman theorem

Local-density approximation

The general variational principle

The Hartree-Fock method

Pairing correlation and the BCS model

Nuclear interaction and nuclear superfluidity

The Hartree-Fock-Bogoliubov theory

Richardson model

Tamm-Dancoff and Random-Phase approximations

Nuclear collective motion

Intended learning outcomes

The main aim of the course is to understand the basic concepts in many-body physics and energy density functional theory. When completing the course, the students should be able to use the second quantization, solve the Hatree-Fock equations and the BCS equation for superconductivity. They should also be able to describe advanced approaches to treat the pairing problem including generalized seniority model, the Richardson model as well as the Hartree-Fock-Bogoliubov approach. They will be able to apply the pairing models to analze the properties of complex quantum systems including atomic nuclei. The course aims also at understanding and implementing numerical methods. To achieve this the students will be provided with both basic and advanced numerical tools for solving complicated many-body problems. They should be able to implement one or several of those tools and understand the results. The students are also expected to write their own codes for solving complex systems in a simple way and write the scientific report in a standard manner.

Course Disposition

Lecture notes will be distributed and the students are expected to study mostly by themselves. Discussions and lectures will be arranged together with the students.

Literature and preparations

Specific prerequisites

Admitted to PhD studies in Physics, Biological Physics, or related fields of study.

Recommended prerequisites

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P. Ring and P. Schuck, Nuclear Many body problem, (Springer, Berlin) 1980 (Chap. 5-8).

D. Rowe and JL Wood, Fundamentals of Nuclear Models: Foundational Model and own material.

Examination and completion

If the course is discontinued, students may request to be examined during the following two academic years.

Grading scale

P, F


  • SEM1 - Seminars, 7,5 hp, betygsskala: P, F

Based on recommendation from KTH’s coordinator for disabilities, the examiner will decide how to adapt an examination for students with documented disability.

The examiner may apply another examination format when re-examining individual students.

Other requirements for final grade

To pass the course the students should give 1-2 open seminars on the subject and hand in a study report. In both cases the students should demonstrate that they have obtained good understanding of the subject and be able to apply their knowledge to practial problems and answer the questions and comments raised by the teacher and other students in a proper way. 

Opportunity to complete the requirements via supplementary examination

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Opportunity to raise an approved grade via renewed examination

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Profile picture Chong Qi

Ethical approach

  • All members of a group are responsible for the group's work.
  • In any assessment, every student shall honestly disclose any help received and sources used.
  • In an oral assessment, every student shall be able to present and answer questions about the entire assignment and solution.

Further information

Course web

Further information about the course can be found on the Course web at the link below. Information on the Course web will later be moved to this site.

Course web FSH3313

Offered by


Main field of study

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Education cycle

Third cycle

Add-on studies

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Chong Qi

Postgraduate course

Postgraduate courses at SCI/Physics