Semester page for FYS4480 - Autumn 2024

Dear all, since our discussions last Friday (November 29) were in Norwegian only, no recording was made. However, here follows a brief summary of a possible path for the oral exam.

1) You should make a presentation which lasts approximately 25-30 minutes. Only slides, no blackboard/whiteboard or plain paper and pencil presentations.

2) We will use the last 15-20 mins on questions about your presentation and eventually other topics we have covered this semester. The questions will mainly focus on what you presented, but can also include general background questions about many-body theories in order to assess your understanding.

What should I include in the  presentation?

You should try to cover the main many-body methods we have covered this semester, their mathematical background, pros and cons and possible links with each other. The methods we have discussed are

a) Full configuration interaction theo...

Dear, welcome to our last week of lectures.  Since many of you are busy with oral exams, I would like to suggest that we run our last two lectures via zoom only. The lectures will be recorded as usual and we can always organize an additional meeting to discuss the final oral exam later. 

The plans for this week are as follows:

Thursday:

a. Short repetition from last week

b. How to write your own coupled-cluster theory code, pairing model example

c. Coupled cluster theory, singles and doubles excitations, diagrammatic expansion

Friday:

a. Coupled cluster theory for singles and doubles excitations using a diagrammatic derivation

b. Summary of course and discussion of final oral exam

Lecture material: Lecture notes and Shavitt and Bartlett chapters 9 and 10. See ...

Dear all, here are our plans for week 47, November 18-22

Thursday:

a. Introduction to coupled-cluster theory and basic equations

Friday:

a. Derivation of doubles excitation equation

b. Applications to the pairing model from the second midterm

Lecture material: Lecture notes (these notes at https://github.com/ManyBodyPhysics/FYS4480/tree/master/doc/pub/week47) and chapter 9 of Shavitt and Bartlett, in particular sections 9-1-9.3

Some of the derivations will be done on the whiteboard and have not yet been in included in the notes.

Best wishes to you all and thx again for heroic efforts with the second midterm.

Morten and Ruben

Dear all, our plans for the last two weeks is to discuss coupled cluster theory as our final many-body method. The material is covered by the lecture notes and Shavitt Bartlett chapter 9 and chapter 10.  During week 47 (November 21 and 22) we will mainly cover chapter 9 while week 48 will go into more details into the full coupled cluster equations for singles and double excitations.

Our final oral exam is set to December 16 and 17 and you should all receive the final schedule via student web soon.

Best wishes to you all,

Morten and Ruben

Dear all, we hope all is going well with the second midterm. Here are the plans for this week:

Thursday:

a. Discussion of second midterm, we will most likely use the first hour

b. Linked and unlinked diagrams

c. Linked diagram theorem and diagram rules

Friday:

a. Linked diagram theorem and diagram rules

b. Start Coupled Cluster theory

Relevant reading for the lectures: Shavitt abd Bartlett chapters 6 and 7 on linked and unlinked diagrams. For coupled cluster theory chapter 9 is the most relevant one. The lectures follow to a large extent the material covered in these chapters.

Else, if everybody is fine with it, we could plan the final oral exam for December 16 and 17. Please let us know asap if these dates fit. Keep in mind that the exam can also be held via zoom in case you cannot be there in person.&nbs...

Dear all, this week the lectures are via zoom only.

So, no in-person lecture but a direct zoom session both days. These lectures will also be recorded as usual.

The second midterm will be available from Friday, with deadline Monday November 18 at midnight.

The plans this week are:

Thursday:

a. Continuation of examples from week 45

b. Many-body perturbation theory, discussion of diagrammatic representation

c. Diagram rules

d. Linked and unlinked diagrams

Friday:

a. Examples of diagrams and discussion of Pauli violating diagrams (exclusion principle violating diagrams)

b. Linked diagram theorem

Second midterm at https://gi...

Plans for week 44

Thursday

a. Time-independent perturbation theory, see material at https://github.com/ManyBodyPhysics/FYS4480/blob/master/doc/pub/week44/ipynb/week44.ipynb

b. Examples of contributions to perturbation theory (whiteboard notes)

Friday:

a. Examples of contributions to perturbation theory (whiteboard notes)

Lecture Material: Shavitt and Bartlett chapter 4-6

Eight exercise set at https://github.com/ManyBodyPhysics/FYS4480/blob/master/doc/Exercises/2024/ExercisesWeek44.pdf

Dear all, the lectures this week will be in the form of videos that will be uploaded since Morten is away for a conference. That is there is no in person lecture this week or a direct zoom lecture.

The topics are

Thursday:

a. Density functional theory, the Hohenberg-Kohn theorems

b. Kohn-Sham equations

Friday:

a. Kohn-Sham equations and the local density approximation and links with Hartree-Fock theory

b. Start many-body perturbation theory

c. Linking FCI and Hartree-Fock theory with many-body perturbation theory

Note that there are no exercises this week. The lecture notes are at https://github.com/ManyBodyPhysics/FYS4480/blob/master/doc/pub/week43/ipynb/week43.ipynb . Th...

Dear all, we hope all is well and that the midterm is not causing too many problems for you.

In connection with the midterm we would like to suggest some Q&A time this Thursday after 1pm. I have a meeting  3pm-4pm, but else we could just use room F?467 and discuss the midterm from 1pm and on (say till 5pm-6pm if needed).

Else, the plans for this week are (note that the Density functional theory material will be added later)

Topics to be covered.

1. Thursday:

• The first lecture is about the finalization of the calculation of the ground state energy of the homogeneous electron gas in three dimensions

• Start discussion of density functional theory

• Discussions of first midterm from 1pm-->, room F?467 or other rooms at the CCSE...

Dear all, welcome back to FYS4480. 

Please note that the lecture on Thursday will be via zoom only. I am unfortunately in a series of zoom meetings most of Thursday  and decided thus to work from home.  The Friday lecture will however be in person as usual. I hope this does not cause any problems to you. 

The lecture notes are at https://github.com/ManyBodyPhysics/FYS4480/blob/master/doc/pub/week41/ipynb/week41.ipynb and the zoom link is https://msu.zoom.us/j/97773954122?pwd=6f3GES17tnZudZjzDQ8O5gUJnXyG0K.1

The topics this week  focus on the infinite electron gas in three dimensions and how to calculate the Hartree-Fock energy (analytical expression) and the ground state energy (analytical expression again). The latter plays an importan...