| Date | Teacher | Place | Topic | Lecture notes / comments |
| 19.08.2013 | 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. |
| 21.08.2013 | MHJ | LFA | Second quantization | We discuss systems of fermions and bosons, lecture notes, Shavitt and Bartlett chapter 3, Raimes chapter 2 |
| 26.08.2013 | 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 |
| 28.08.2013 | MHJ | LFA | Second quantization | Continuation of previous lecture. |
| Exercises 1 and 2 | ||||
| 02.09.2013 | MHJ | LFA | Second quantization | We discuss the representation of quantum mechanical operators in the second quantization representation. We start also discussing Wick's theorem. |
| 04.09.2013 | 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. |
| Exercises 3, 4 and 5 | ||||
| 09.09.2013 | 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. |
| 11.09.2013 | 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. |
| Exercises 6 and 7 | ||||
| 16.09.2013 | MHJ | LFA | Diagrams and quantum mechanical expectation values | Lecture notes and Shavitt and Bartlett chapters 4.1-4-4 for the diagrammatic representation. |
| 18.09.2013 | 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. |
| Exercises 8-11 | For exercise 11, the computation of the three-body term is optional. | |||
| 23.09.2013 | MHJ | LFA | Hartree-Fock theory and Thouless' theorem | Lecture notes |
| 25.09.2013 | MHJ | LFA | Stability of Hartree-Fock equations | Lecture notes. |
| Exercises 12, 13 a, b and c | ||||
| 30.09.2013 | 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. |
| 02.10.2013 | MHJ | LFA | Electron gas and configuration interaction theory | Lecture notes. We continue our discussion of the electron gas and start with configuration interaction theory. |
| Exercises 14, 16 and 18 | ||||
| 07.10.2013 | MHJ | LFA | Configuration interaction theory and presentation of midterm exam | Lecture notes. We continue our discussion of configuration interaction theories. |
| 09.10.2013 | MHJ | LFA | Discussion of project 1 | Work on project 1 |
| 14.10.2013 | MHJ | LFA | CI theory, final part | Lecture notes |
| 16.10.2013 | MHJ | LFA | Resume CI and begin perturbation theory | Lecture notes |
| 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. | |||
| 21.10.2013 | 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. |
| 23.10.2013 | MHJ | LFA | Many-body perturbation theory | Derivation of Brillouin-Wigner and Rayleigh-Schroedinger perturbation theory. |
| End of exercise 19. | ||||
| 28.10.2013 | MHJ | LFA | Many-body perturbation theory | Diagram rules and their derivations, with various examples. |
| 30.10.2013 | MHJ | LFA | Many-body perturbation theory | Diagrams and their corresponding rules with examples. |
| Exercises 24, 25 and 28 | ||||
| 04.11.2013 | 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. |
| 06.11.2013 | 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. |
| Exercises 26 and 30 | ||||
| 11.11.2013 | MHJ | LFA | Summary of Many-body perturbation theory and begin Coupled cluster theory | |
| 13.11.2013 | MHJ | LFA | Coupled cluster theory | Lecture notes and chpater 9 of Shavitt and Bartlett |
| Exercises 31 a, b, c, and d | ||||
| 18.11.2013 | MHJ | LFA | Coupled-cluster theory | Lecture notes and Shavitt and Bartlett chapters 9 and 10. |
| 20.11.2013 | MHJ | LFA | Coupled-cluster theory | |
| 25.11.2013 | MHJ | LFA | Density functional theory | |
| 27.11.2013 | MHJ | LFA | Density functional theory and summary. | Lecture notes |
| xx.12.2013 | Final oral exam | Best wishes to you all! |
Teaching plan
Published July 16, 2013 11:43 AM
- Last modified July 16, 2013 5:05 PM