PHYS-EV0001 - Quantum field theory in condensed matter physics, Lecture, 9.1.2023-6.4.2023

Topic outline

• Lecture videos 2023
  • Select activity Week 1:

    Week 1:
    

  • Select activity Course arrangements. 22 minutes.

    

    Course arrangements. 22 minutes. URL

    Brief overview of the course arrangements and topics.
    

  • Select activity Compton wavelength. 6 minutes.

    

    Compton wavelength. 6 minutes. URL

    Compton wavelength was an exercise.
    

  • Select activity Relativistic quantum wavemechanics. 9 minutes.

    

    Relativistic quantum wavemechanics. 9 minutes. URL

    What would it take to make Schrödinger's equation work with special relativity?
    
  • Select activity Dirac equation. 8 minutes.

    

    Dirac equation. 8 minutes. URL

    Dirac's equation was an exercise.
    

  • Select activity Graphene. 11 minutes.

    

    Graphene. 11 minutes. URL

    Graphene is an example of a condensed matter system in which Dirac's equation in two-dimensions can be relevant.
    

  • Select activity Free particle solutions of the Dirac equation. 17 minutes.

    

    Free particle solutions of the Dirac equation. 17 minutes. URL

    Lets analyze the free particle solutions of the Dirac equation a bit.
    
  • Select activity Dirac sea, Fermi sea. 15 minutes.

    

    Dirac sea, Fermi sea. 15 minutes. URL

    Dirac equation predicts negative and positive energy solutions. To solve the problem of the free electron ground state, Dirac suggested that negative energy states are occupied. The Dirac equation dispersion relations are reminiscent of condensed matter band structures, and the occupied condensed matter states are referred to as the Fermi sea.
    

  • Select activity Nonrelativistic limit of the Dirac equation. 27 minutes.

    

    Nonrelativistic limit of the Dirac equation. 27 minutes. URL

    The nonrelativistic limit of the Dirac equation was an exercise.
    

  • Select activity Solar panels and photosynthesis. 8 minutes.

    

    Solar panels and photosynthesis. 8 minutes. URL

    Dirac equation predicted the existence of antiparticles, such as positrons that could be understood as 'holes' in the Dirac sea. The condensed matter analogy is the hole in the Fermi sea. Solar panels work by absorbing photons that create particle-hole-excitations (called excitons). Also (the first steps of) photosynthesis have the same idea.
    

  • Select activity One-photon box. 12 minutes.

    

    One-photon box. 12 minutes. URL

    One-photon box was an exercise.
    

  • Select activity Classical electron radius. 8 minutes.

    

    Classical electron radius. 8 minutes. URL

    Classical electron radius was an exercise.
    

  • Select activity Bohr radius and fine structure constant. 7 minutes.

    

    Bohr radius and fine structure constant. 7 minutes. URL

    Bohr radius and fine structure constant was an exercise.
    

  • Select activity Starting from week 2, the links to the lecture vid...

    Starting from week 2, the links to the lecture videos will be added to each week's jupyter notebook.