Beskjeder

Publisert 3. des. 2024 06:54

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...

Publisert 24. nov. 2024 11:16

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 ...

Publisert 20. nov. 2024 12:27

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

Publisert 17. nov. 2024 15:31

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

Publisert 13. nov. 2024 09:54

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...

Publisert 6. nov. 2024 21:41

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...

Publisert 30. okt. 2024 22:42

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

Publisert 23. okt. 2024 17:00

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...

Publisert 16. okt. 2024 06:42

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...

Publisert 9. okt. 2024 20:36

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...

Publisert 2. okt. 2024 17:08

Dear all, welcome back to FYS4480.

This week the plans are to 

Thursday:

  1. Efficient ways of implementing the Hartree-Fock algorithm,

  2. Thouless' theorem and stability of Hartree-Fock equations

Friday:

  1. Stability of Hartree-Fock equations and Thouless' theorem

  2. The homogeneous electron gas in three dimensions

  1. Lecture Material: slides and notes at https://github.com/ManyBodyPhysics/FYS4480/blob/master/doc/pub/week40/ipynb/week40.ipynbLinks to an external site. and Szabo and Ostlund, sections 3.1-3.4

  2. Seventh exercise set at ...

Publisert 25. sep. 2024 15:27

Dear all and welcome back to a new week with FYS4480/9480. The plans this week are 

Thursday:

  • Discussion of Full configuration interaction (FCI) theory
  • Diagrammatic representation of FCI
  • Lipkin model as an example of applications of FCI theory
  • Start Hartree-Fock theory                                                                                                                                               &...
Publisert 18. sep. 2024 16:19

Dear all, the plans this week entail

a. Thursday: Discussion of particle-hole formalism with examples and diagrammatic representation. Start discussion of full configuration interaction theory
b. Friday: Full configuration interaction theory

Lecture Material: These slides and chapters 3 and 4 of Shavitt and Bartlett covers most of the material discussed this week. The slides this week are at https://github.com/ManyBodyPhysics/FYS4480/blob/master/doc/pub/week38/pdf/week38.pdf

Fifth exercise set at https://github.com/ManyBodyPhysics/FYS4480/blob/master/doc/Exercises/2023/ExercisesWeek38.pdf

The solutions to the exercise set from last week can be found at https://github.com/CompPhysics/QuantumComputingMachineLearning/blob/gh-pages/doc/pub/week8/ipynb/week8.ipynb

A note on the exercise sessions scheduled for each Friday at 1215pm-2pm: since nobody has showed up the last three times, we decided to offer these se...

Publisert 11. sep. 2024 08:05

Dear all, welcome back to FYS4480/9480.

This week we will use the lecture on Thursday to summarize our discussions on Wick's theorem, with examples and discussions of the exercise set this week.

On Friday we will introduce a new reference vacuum state and the so-called particle-hole formalism, widely used in condensed matter physics, materials science, quantum chemistry and nuclear physics.

For Wick's theorem, chapters 3 and 4 of Shavitt and Bartlett is an ok read. idem for the particle-hole formalism.

Lecture Material: slides from https://manybodyphysics.github.io/FYS4480/doc/pub/week37/pdf/week37.pdf.

Fourth exercise set at https://github.com/ManyBodyPhysics/FYS4480/blob/master/doc/Exercises/2024/ExercisesWeek37.pdf

The solution to the exercises from week 36 are at https://github.com/ManyBodyPhysics/FYS4480/blob/master/doc/Exercises/2024/AnswersWeek36.pdf

 

Best wishes to you all,

Morten and Ruben

Publisert 4. sep. 2024 11:05

Dear all, welcome back to FYS4480/9480.

* Topics to be covered

  o Thursday: Second quantization, operators in second quantization and diagrammatic representation

  o Friday: Second quantization and Wick's theorem

* Lecture Material: slides from https://manybodyphysics.github.io/FYS4480/doc/pub/week36/pdf/week36.pdf, handwritten notes and Szabo and Ostlund sections 2.3 and 2.4. The material on Wick's theorem is covered by the whiteboard notes to be discussed on Friday.

* Third exercise set at https://github.com/ManyBodyPhysics/FYS4480/blob/master/doc/Exercises/2024/ExercisesWeek36.pdf

The solution to the exercises from week 35 are at https://github.com/ManyBodyPhysics/FYS4480/blob/master/doc/Exercises/2024/AnswersWeek35.pdf

 

Best wishes to you all,

Morten and Ruben

Publisert 29. aug. 2024 07:03

Dear all, we hope this week started the best possible for all of you.

Here are some updates for this week (week 35).  On Thursday we plan to finalize the calculations of expectation values for fermionic systems. Parts of this material is covered by the lectures from last week, see for example the slides from last week at https://github.com/ManyBodyPhysics/FYS4480/blob/master/doc/pub/week34/pdf/week34.pdf (from slide 68, Ground state energy as header).

Thereafter (Friday most likely), we move into our first encounter of second quantization. The material is covered by this week's slides at for example https://manybodyphysics.github.io/FYS4480/doc/pub/week35/html/week35-bs.html or as a pdf file at https://github.com/ManyBodyPhysics/FYS4480/blob/master/doc/pub/week35/pdf/week35.pdf

Our second exercise set, to be discussed on Friday is available at https://github.com/ManyBodyPhysics/FYS4480/blob/master/doc/Exercises/2023/Exercises...

Publisert 22. aug. 2024 09:26

Dear all, a warm welcome to everybody. 

Our first lecture is Thursday August 22 at 1015am in room F?434 in the Physics building. All lectures will be recorded and if you cannot attend physically, the zoom link is

https://msu.zoom.us/j/97773954122?pwd=6f3GES17tnZudZjzDQ8O5gUJnXyG0K.1

Meeting ID: 977 7395 4122
Passcode: 583107

All educational material pertinent to the course is at 

https://github.com/ManyBodyPhysics/FYS4480

and this week's material is at 

https://github.com/ManyBodyPhysics/FYS4480/tree/master/doc/pub/week34

We look much forward to meet you all, best wishes

Morten and Ruben