Beskjeder
The final oral exam in FYS-KJM4480/9480 will take Place in room ?364 in the Physics building.
The second project is out! See links on the right-hand side.
Deadline is Monday December 7 at 14:15h.
On Thursday Nov. 12 we derived a form of Wick's Theorem for commutators of normal-ordered operators with a cluster operator. We used this to show the connected-cluster form of the coupled-cluster energy, which we derived in some detail.
On Monday Nov. 16, we will continue, deriving the CCSD amplitude equations in some detail.
The lecture notes have not been updated due to time constraints. However, the CC part of the course relies only on the article by Crawford and Schaefer, which I have handed out electronically. If you have not gotten the article, please notify me ASAP, and you will get it.
The connected-cluster form of the commutator that I derived is not done in detail in Crawford and Scaefer, but I will include it in the notes pretty soon.
The lecture notes have been updated with basis sets (the previous lecture), and the first coupled-cluster theory (CC) lecture (which is postponed due to illness).
Today, we will conclude the PT treatment of jellium/the electron gas.
The newest lecture notes contain everything up to and including MBPT for the jellium model/electron gas.
Note: On Thursday November 29, there will be no lecture.
The plan for the next week, is to talk about single-particle basis sets in chemistry and physics, before we begin with coupled-cluster theory.
The newest lecture notes contains our treatment of the jellium model, including the HF theory.
In the next lecture, we will conclude the jellium discussion with perturbation theory. (This is not yet included in the lecture notes.)
The project TEX and PDF has been slightly revised. The exercises have not been changed in any way except for minor textual changes, but I have tried to clarify a few things that has come up in discussion with students.
Most importantly, I have changed the notation for spin-orbital indices from μ etc to p etc, and in exercise 3, the orbital indices are P etc to distinguish them from the spin-orbitals.
The lecture notes have been updated with the Generalized Wick's Theorem and M?ller--Plesset Perturbation Theory.
Next week, we begin with the electron gas -- the first application of or theory so far to a physical system of interest. Supporting material is Gross/Runge/Heionen Chapter 10 (and also Ch. 5 for the Hamiltonian of a translationally invariant system).
The lecture notes have been updated to include MBPT.
In today's lecture, we concluded with Rayleigh--Schroedinger perturbation theory for the ground-state of an N-fermion system.
On Thursday, we discuss operators on normal-ordered form and the Generalized Wick's Theorem.
Lecture notes on perturbation theory is now uploaded. We will continue with perturbation theory on Monday October 12.
The project can be found here:
http://www.uio.no/studier/emner/matnat/fys/FYS-KJM9480/h15/projects/
Deadline: Monday November 2 at 12pm (noon).
In today's lecture (Thursday) I will discuss the project a little.
Lecture notes are updated with Restricted HF and Unrestricted HF (not yet lectured). Two more typos in Ex. 2.8 fixed (simple index mistakes).
I have been made aware of some typos in problem set 5. These have now been corrected, together with some relevant typos in the HF section.
Problem set 5 deals with Hartree--Fock theory.
1.6: Mixing of single-particle functions.
2.7: Fock operator is Hermitian.
2.8: Reduced density matrix and unitary transformations
2.9: A detail in the proof of the HF equations.
To be handed in by the end of the next week (Friday October 9.)
The newest version of the lecture notes contains a much improved Hartree--Fock section, and an appendix with a gentle introduction to calculus of variations, heavily used when deriving the HF equations. (I will not lecture the appendix, but I recommend that you read though it.)
In the Thursday lecture, I will summarize the HF equations and continue Hartree--Fock theory.
In the latest lecture noes (just uploaded), exercises 1.23 (Wick's Theorem exercise), 1.29 (Wick's Theorem on quasiparticles), 2.2 (CI dimensions), 2.3 (bitwise manipulations/occupation numbers)
More on HF theory, CI theory, normal-ordering of Hamiltonian.
The lecture notes contain more on the CI method and the Hartree--Fock method. Some updates and fixes.
In the currently uploaded lecture notes: 1.20, 1.21, 1.24, 1.26, and 1.28
To be handed in at the end of Week 39.
The package simplewick for LaTeX can be used to typeset contractions.
On Monday, we finished Wick's Theorem and discussed particle-holes/quasiparticles. That concluded the basic formalism part.
We started on the variational principle, the main engine behind computational method generation.
Thursday, we continue discussing the variational principle, and start discussing the CI method. There will be some more on quasiparticles, with normal-ordered Hamiltonians, if we get that far.
The lecture notes are updated, with a detailed proof of Wick's theorem and the material for this week, plus some of next week's material.
In the new version of the lecture notes, exercises: 1.3, 1.13, 1.14, and 1.17. These are to be handed in, and count towards the final score. Additionally, exercise 1.19 is highly recommended, but does <i>not</i> count.
Note that due to added material, the exercises for Week 37 have new numbers: 1.2, 1.5, 1.7, 1.10.
The lecture notes document is updated. Unfortunately, the section on Wick's Theorem is not complete.
This week, we will go through Wick's theorem. For supporting material, see Ch. 19 in Gross/Runge/Heinonen.
The Friday lectures are moved to Monday at 14:15, the room is ? 467.
Lecture notes are updated with the material that will be taught this week. The topic is representation of operators in second quantization. Supporting material is Harris, Monkhorst & Freeman, Section 4.1 to 4.4.
This is the first week with exercises. These are to be handed in (preferrably a PDF) on Thursday September 10 (Week 37). Exercises are: 1.2, 1.4, 1.6 and 1.8 in the lecture notes.
Each exercise counts equally towards final exercise score (which is 10 % of final grade).
Due to unfortunate collisions of important events, there will be no teaching week 35 (August 27 and 28). We will try and find dates to catch up later in the semester.
The curriculim for the course is the content taught in the lectures. Every week, at set of updated lecture notes will be published on this page.
A set of beamer slides with summary and a list of supporting material is also continually updated and published on these pages.
The supporting material will be handed out electronically by the lecturer, and is otherwise available on request.