PHYS-EV0001 - Quantum field theory in condensed matter physics, Lecture, 9.1.2023-6.4.2023
Kurssiasetusten perusteella kurssi on päättynyt 06.04.2023 Etsi kursseja: PHYS-EV0001
Osion kuvaus
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Brief overview of the course arrangements and topics.
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What would it take to make Schrödinger's equation work with special relativity?
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Graphene is an example of a condensed matter system in which Dirac's equation in two-dimensions can be relevant.
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Lets analyze the free particle solutions of the Dirac equation a bit.
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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.
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The nonrelativistic limit of the Dirac equation was an exercise.
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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.
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Bohr radius and fine structure constant was an exercise.