Week 6, Feynman’s diagrams, Hedin’s equations
Description: Week 6, Feynmans diagrams, Hedins equations Feynmans rule, Hedins equation, GW method, functional derivatives Feynmans rule for G Fundamental interaction vertex, emissionabsorption of virtue photon G up to second order Self energy and
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slide1. Week 6, Feynman’s diagrams, Hedin’s equations Feynman’s rule, Hedin’s equation, GW method, functional derivatives<br>
slide2. Feynman’s rule for G<br>
slide3. Fundamental interaction vertex, emission/absorption of virtue photon<br>
slide4. G up to second order<br>
slide5. Self energy and Dyson equation<br>
slide6. Hedin equations 3 2 1 2 1 4 3 1 2 1 2 1 2 3 4<br>
slide7. GW approximation (RPA) 2 1 1 2 1 2 1 2<br>
slide8. Density functional theory<br>
slide9. Deriving the Hedin equations, starting point – introducing external driving<br>
slide10. Derive an equation of motion for G, replace the Coulomb interaction term by a functional derivative<br>
slide11. Functional derivative<br>
slide12. By a change of variable from G to G-1, we turn it into a Dyson equation<br>
slide13. Define dielectric function, eliminate in favor of V tot<br>
slide14. Charge-charge correlation , screened potential W<br>
slide15. Define vertex function, use it to express <br>
slide2. Feynman’s rule for G<br>
slide3. Fundamental interaction vertex, emission/absorption of virtue photon<br>
slide4. G up to second order<br>
slide5. Self energy and Dyson equation<br>
slide6. Hedin equations 3 2 1 2 1 4 3 1 2 1 2 1 2 3 4<br>
slide7. GW approximation (RPA) 2 1 1 2 1 2 1 2<br>
slide8. Density functional theory<br>
slide9. Deriving the Hedin equations, starting point – introducing external driving<br>
slide10. Derive an equation of motion for G, replace the Coulomb interaction term by a functional derivative<br>
slide11. Functional derivative<br>
slide12. By a change of variable from G to G-1, we turn it into a Dyson equation<br>
slide13. Define dielectric function, eliminate in favor of V tot<br>
slide14. Charge-charge correlation , screened potential W<br>
slide15. Define vertex function, use it to express <br>