| Date | Teacher | Place | Topic | Lecture notes / comments |
| 20.08.2012 | Morten Hjorth-Jensen (MHJ)? | Lille Fysiske Auditorium (LFA)? | Introduction to the course? | Presentation of the course, with syllabus, examination form etc. Discussion of physical systems and wave functions for bosons and fermions. Lecture notes, Shavitt and Bartlett chapter 1, Raimes chapter 1 and Gross, Runge and Heinonen (GRH) chapter 1.? |
| 22.08.2012 | MHJ? | LFA? | Second quantization? | We discuss systems of fermions and bosons, lecture notes, Shavitt and Bartlett chapter 3, Raimes chapter 2? |
| 23.08.2012 | Gustav B?rdsen (GB)? | Solution of weekly exercises, room F?364? | ? | No exercise session first week? |
| 27.08.2012 | MHJ? | LFA? | Second quantization? | Wave functions for fermions and bosons, continuation from last week. Representation of operators in second quantization. Lecture notes, Shavitt and Bartlett chapter 3 and Raimes chapter 2? |
| 29.08.2012 | Gustav B?rdsen? | LFA? | Second quantization? | Continuation of previous lecture.? |
| 30.08.2012 | Gustav B?rdsen (GB)? | F?364? | Exercises 1 and 2? | ? |
| 03.09.2012 | MHJ? | LFA? | Second quantization? | We discuss the representation of quantum mechanical operators in the second quantization representation. We start also discussing Wick's theorem.? |
| 05.09.2012 | MHJ? | LFA? | Matrix elements and Wick's theorem? | We introduce Wick's theorem and how to simplify calculations of expectation values. We discuss also a diagrammatic representation of operators. We start also discussion the particle-hole representation. Lecture notes, Shavitt and Bartlett chapter 3.1-3.6 and 4.1-4.4 and Raimes appendix VII.? |
| 06.09.2012 | MHJ? | F?364? | Exercises 3, 4 and 5? | ? |
| 10.09.2012 | MHJ? | LFA? | Wick's theorem and diagrammatic representation of matrix elements? | Lecture notes, Shavitt and Bartlett chapter 4 and Raimes chapter 7. We discuss also the particle-hole representation of operators.? |
| 12.09.2012 | MHJ? | LFA? | Diagrammatic representation of matrix elements? | We discuss also how to represent the kinetic energy and density operators in a diagrammatic form. Lecture notes, Shavitt and Bartlett chapter 4 and Raimes chapter 7.? |
| 13.09.2012 | GB? | F?364? | Exercises? | ? |
| 17.09.2012 | MHJ? | LFA? | Diagrams and quantum mechanical expectation values? | Lecture notes and Shavitt and Bartlett chapters 4.1-4-4 for the diagrammatic representation.? |
| 19.09.2012 | MHJ? | LFA? | Diagrams and Hartree-Fock theory? | Lecture notes for the Hartree-Fock approach, Shavitt and Bartlett chapters 4.1-4-4 for the diagrammatic representation. ? |
| 20.09.2012 | GB? | F?364? | Exercises 8-11? | For exercise 11, the computation of the three-body term is optional. ? |
| 24.09.2012 | MHJ? | LFA? | Hartree-Fock theory and Thouless' theorem? | Lecture notes? |
| 26.09.2012 | MHJ? | LFA? | Stability of Hartree-Fock equations? | Lecture notes.? |
| 27.09.2012 | GB? | F?364? | Exercises 12, 13 a, b and c? | ? |
| 01.10.2012 | MHJ? | LFA? | Summary of Hartree-Fock theory and the electron gas.? | Lecture notes. We will discuss the stability of the Hartree-Fock equations and Koopman's theorem. We present also the classical example of Hartree-Fock theory, the so-called electron gas.? |
| 03.10.2012 | MHJ? | LFA? | Electron gas and configuration interaction theory? | Lecture notes. We continue our discussion of the electron gas and start with configuration interaction theory.? |
| 04.10.2012 | GB? | F?364 ? | Exercises 14, 16 and 18? | ? |
| 08.10.2012 | MHJ? | LFA? | Configuration interaction theory and presentation of midterm exam? | Lecture notes. We continue our discussion of configuration interaction theories.? |
| 10.10.2012 | MHJ? | LFA? | No lectures due to midterm exam? | ? |
| 11.10.2012 | No exercises? | ? | Midterm exam? | The midterm exam is presented on Monday 8 during the lecture 8-10am and has to be handed in on Monday the 15th at noon.? |
| 15.10.2012 | MHJ? | LFA? | CI theory, final part? | Lecture notes? |
| 17.10.2012 | MHJ? | LFA? | Resume CI and begin perturbation theory? | Lecture notes? |
| 18.10.2012 | MHJ? | F?364? | Exercises? | Finalize exercise 18 and exercise 19. The exercises will be solved on the blackboard since the electron gas results will be used later in our discussion of density functional theory.? |
| 22.10.2012 | MHJ? | LFA? | Many-body perturbation theory? | Lecture notes and Shavitt and Bartlett chapters 2 and 5. Derivation of Brillouin-Wigner and Rayleigh-Schroedinger perturbation theory. Definition of model spaces.? |
| 24.10.2012 | MHJ? | LFA? | Many-body perturbation theory? | Derivation of Brillouin-Wigner and Rayleigh-Schroedinger perturbation theory.? |
| 25.10.2012 | MHJ? | F?364? | End of exercise 19.? | ? |
| 29.10.2012 | MHJ? | LFA? | Many-body perturbation theory? | Diagram rules and their derivations, with various examples.? |
| 31.10.2012 | MHJ? | LFA? | Many-body perturbation theory? | Diagrams and their corresponding rules with examples. ? |
| 01.11.2012 | GB? | F?364? | Exercises 24, 25 and 28? | ? |
| 05.11.2012 | MHJ? | LFA? | Many-body perturbation theory? | Lecture notes, Shavitt and Bartlett chapter 5-6 and Raimes 7-9 Discussion of time-dependent theory, adiabatic hypothesis and Goldstone's linked diagram theorem.? |
| 07.11.2012 | MHJ? | LFA? | Many-body perturbation theory? | Lecture notes, Shavitt and Bartlett chapter 5-6 and Raimes 7-9. Discussion of time-dependent perturbation theory, Goldstone's theorem, Wick's theorem for time-dependent products and Gell-Mann and Low's theorem.? |
| 08.11.2012 | GB? | F?364? | Exercises 26 and 30? | ? |
| 12.11.2012 | MHJ? | LFA? | Summary of Many-body perturbation theory and begin Coupled cluster theory? | ? |
| 14.11.2012 | MHJ? | LFA? | Coupled cluster theory? | Lecture notes and chpater 9 of Shavitt and Bartlett? |
| 15.11.2012 | GB? | F?364? | Exercises 31 a, b, c, and d? | ? |
| 19.11.2012 | MHJ? | LFA? | Coupled-cluster theory ? | Lecture notes and Shavitt and Bartlett chapters 9 and 10.? |
| 21.11.2012 | MHJ? | LFA? | Coupled-cluster theory ? | ? |
| 22.11.2012 | GB? | F?364? | Exercises? | Exercise 33, parts e, f, g, h and i.? |
| 26.11.2012 | MHJ? | LFA? | Density functional theory? | Lecture notes? |
| 28.11.2011 | MHJ? | LFA? | Summary and brief link with density functional theory? | Lecture notes and last lecture. Summary of the course and discussion of exam.? |
| 11.12.2012 | Final written exam? | ? | ? | Best wishes to you all!? |
Teaching plan
Published Aug. 19, 2012 1:14 PM
- Last modified Nov. 28, 2012 11:43 AM