Semesterside for FYS4480 - H?st 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 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...

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

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

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...

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                                                                                                                                               &...

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

3. 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

4. Seventh exercise set at ...

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...

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, 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...