Course content

Classical mechanics and classical field theory. Symmetries and Noether's theorem.
Relativistic corrections to the Schroedinger equation. Klein-Gordon and Dirac equation for free particles with and without external fields. Quantization of fields.
Ising Heisenberg models. Spin waves (magnons). Hubbard models. Weakly-interacting Bose gas. Goldstone's theorem. Effective potential.
Interacting Fermi gases and BCS theory for superconductors.

Learning outcome

The students shall be given an advanced and complimentary fulfillment of the courses TFY4250/FY2045 and TFY4205, with applications in atomic physics, relativistic quantum mechanics and solid state physics.

Learning methods and activities

Lectures and home work problems. All students will go through one of the calculation exercises on the blackboard during the semester, to be allowed to take the exam. The course will be given in English if students on the international master program in physics are attending the course. A re-sit examination may be changed from written to oral.

Compulsory assignments

• Calculation exercises

Recommended previous knowledge

The courses TFY4250/FY2045 and TFY4205 or equivalent.

Course materials

P. C. Hemmer: Kvantemekanikk,
A. L. Fetter og J. D. Walecka: Quantum theory of many-particle systems
(Dover Publications, Mineola, New York 2003 paperback)
J. O. Andersen, Lecture Notes.

Credit reductions