Quantum Field Theory for Materials

5 credits

Syllabus, Master's level, 1FA686

Code
1FA686
Education cycle
Second cycle
Main field(s) of study and in-depth level
Physics A1F
Grading system
Pass with distinction (5), Pass with credit (4), Pass (3), Fail (U)
Finalised by
The Faculty Board of Science and Technology, 28 February 2023
Responsible department
Department of Physics and Astronomy

Entry requirements

120 credits in science/engineering. Participation in Introduction to Quantum Field Theory with Applications. Proficiency in English equivalent to the Swedish upper secondary course English 6.

Learning outcomes

On completion of the course, the student should be able to:

  • solve problems using Green's functions and Feynman diagrams for many body systems
  • use some commonly used approximations for interacting electron gas
  • use linear response theory and describe the Kubo formalism
  • describe BCS theory for superconductivity

Content

The course introduces the student to quantum field theoretical and statistical methods used to study materials at the microscopic scale, while at the same time describing macroscopic phenomena.

Fermi gas and Fermi liquid. Green's functions. Feynman diagrams. Hartree-Fock and random phase approxmations. Linear response theory. Susceptiblitities. Kubo formalism. Bardeen-Cooper-Schrieffer (BSC) theory for superconductivity.

Instruction

Lectures and student-run seminars.

Assessment

Hand-in assignments with oral and written examination.

If there are special reasons for doing so, an examiner may make an exception from the method of assessment indicated and allow a student to be assessed by another method. An example of special reasons might be a certificate regarding special pedagogical support from the disability coordinator of the university.

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