FYSS5540 Tiheysfunktionaaliteoria (8 op)

• Hohenberg-Kohn theorem

• Kohn-Sham equations

• Exchange-correlation functionals

• Correlation functions

• Local density approximation

• Gradient expansion and orbital functionals

• Time-dependent density functional theory

• Linear response theory

• Calculation of excitation energies

• Extensions of density functional theory 

At the end of this course, students will be able to

• Prove the Hohenberg-Kohn theorem

• Describe the basic ideas behind the Kohn-Sham equations

• Present the basic idea underlying the local density approximation

• Describe the physical ideas behind the density gradient expansion

• Explain electron correlation in terms of pair-correlation functions

• Derive the adiabatic connection formula

• Derive the density-potential mapping in the time-dependent case

• Explain linear response density functional theory

• Explain how excitations energies are calculated

• Write a report on a topic related to density functional theory 

Good knowledge of quantum mechanics 

Lecture notes and background articles