Teaching plan

DateTeacherPlaceTopicLecture notes / comments
21.01.2010Morten Hjorth-Jensen (MHJ). Eirik Gramstad (EG) will be at the lab every thursday.? FV329? Introduction to the course, computing topics and introduction of national supercomputing resources? The course is based on two large projects which have to be approved. The final oral exam is based on these projects.

The first 4 weeks we will introduce various topics in quantum mechanical many-body physics, with an emphasis on topics relevant for material science, solid state physics and quantum chemistry.

The many-body approaches to be studied in the three projects are Hartree-Fock theory, variational Monte Carlo methods, density functional theories and Molecular dynamics. Hartree-Fock theory is covered by the text of Raimes, while VMC methods are discussed in chapters 11, 16 and 17 of the Lecture notes. Density functional theories are discussed in the articles by Jones. Alternatively, the text of Thijssen covers well Hartree-Fock theory, density functional theory and molecular dynamics, see chapter 4-6 and 8-9. It covers also Monte Carlo methods, see chapters 12-14. The first project deals with the development of a variational Monte Carlo program for atoms. We will study the He, Be and Ne atoms using variational Monte Carlo. We start thus with studies of atoms using variational Monte Carlo. Project one is also presented. Material: Lecture notes chapter 11 and chapter 7.7 on parallelization. ?

28.01.2010No lecture but lab, EG? FV329? ? Only project work, getting started with project 1. MHJ is away for a conference at Ganil in France. EG will be at the lab.?
04.02.2010MHJ and EG? FV329? Variational Monte Carlo? We discuss importance sampling and how to obtain closed form expressions for the local energy. Slides and Chapter 16 of lecture notes. Project work. This week we should try to finish part 1a of project 1 and start implementing importance sampling.?
11.02.2010MHJ and EG? FV329? Variational Monte Carlo? Blocking and importance sampling. Project work. This week you should have finished implementing importance sampling and start with implementing blocking. This means that we should try to implement blocking as well. ?
18.02.2010MHJ and EG? FV329? Variational Monte Carlo? Importance sampling and discussion of Green's function, link with diffusion equation. Blocking method and start discussion of the conjugate gradient method.?
25.02.2010MHJ and EG? FV329? Variational Monte Carlo? Minimization of multivalue functions via the conjugate gradient method, chapter 16 of Lecture notes. The minimization method we will discuss is from chapter 10.7 of numerical recipes. ?
04.03.2010MHJ and EG? FV329? Variational Monte Carlo? Blocking method and minimization of multivalue functions via the conjugate gradient method, chapter 16 of Lecture notes. Slater determinants. Finalize 1d of project 1.?
11.03.2010MHJ and EG? FV329? Variational Monte Carlo? We discuss the calculation of the Jastrow factor and the Slater determinant. Begin with 2a of project 1?
18.03.2010MHJ and EG? FV329? Variational Monte Carlo? Jastrow factor and Slater determinant, computation of the binding energy of beryllium and neon. ?
25.03.2010MHJ and EG? FV329? Final discussion of project 1? We summarize project 1. Project 2 is now available.?
08.04.2010MHJ and EG? FV329? Hartree-Fock theory and density functional theory (DFT)? We start with HF and DFT, chapters 16 and 18 of lecture notes or chapters 4-6 of Thijssen's text. Hartree-Fock theory and choice of basis functions, chapter 16 of lecture notes.?
15.04.2010MHJ and EG? FV329? Hartree-Fock equations? We derive the Hartree-Fock equations by varying the single-particle wave functions. Literature: chapter 16 of lecture notes and chapter 4 of Thijssen. The slides are also self-contained. The chapters and the slides contain all relevant info for the Hartree-Fock part.?
22.04.2010MHJ and EG? FV329? Hartree-Fock equations? We discuss how to derive the HF equations by making an expansion of the single-particle wave functions in terms of a basis of single-particle wave functions. ?
29.04.2010MHJ and EG? FV329? DFT? Chapter 18 of lecture notes or chapters 5 and 6 of Thijssen. Project two is presented.?
06.05.2010MHj and EG? FV329? Project 2? Only project work this week, no lectures.?
20.05.2010EG? FV329? Project 2? Only Lab this week.?
27.05.2010MHJ and EG? FV329? Project 2? Final discussion of project 2, deadline for project 2 is 31 May. Tentative time for the oral exam is Friday 11 June.?
10.06.2010MHJ? Department of Physics, UiO? Final oral exam? ?
Published Jan. 20, 2010 9:10 AM - Last modified Mar. 24, 2010 3:04 PM