Schedule
Contents
Schedule¶
This course will be delivered in a hybrid mode, with online and on site lectures and on site exercise sessions.
Four lectures per week, fall semester, 10 ECTS. The lectures will be fully online. The lectures will be recorded and linked to this site and the official University of Oslo website for the course;
Two hours of exercise sessions for work on projects and exercises;
Two projects which are graded and count 30% each of the final grade;
A final oral exam which counts 40% of the final grade
The course is offered as FYS4480 (Master of Science level) and as FYS9480 (PhD level);
Videos of teaching material are available via the links at https://www.uio.no/studier/emner/matnat/fys/FYS4480/h23/timeplan/index.html
Weekly emails with summary of activities will be mailed to all participants;
Teaching schedule with links to material¶
Week 34, August 21-25¶
Topics to be covered
Thursday: Introduction to many-body physics, notations and definitions
Video of lecture at https://youtu.be/uKku_uAnmRM
Friday: Discussion of notations and important properties in many-body physics
Video of lecture at https://youtu.be/WGy3ybPAayw
Lecture Material at https://manybodyphysics.github.io/FYS4480/doc/pub/secondquant/html/secondquant-bs.html
Week 35, August 28-September 1¶
Topics to be covered
Thursday: Fermion state functions and computation of expectation values in first quantization
Video of lecture at https://www.youtube.com/watch?v=zG1fy6Wecxo
Friday: Introduction of second quantization
Video of lecture at https://youtu.be/3aqZKgA4E4c
Lecture Material at https://manybodyphysics.github.io/FYS4480/doc/pub/secondquant/html/secondquant-bs.html
First exercise set at https://github.com/ManyBodyPhysics/FYS4480/blob/master/doc/Exercises/2023/ExercisesWeek35.pdf
Week 36, September 4-8¶
Topics to be covered
Thursday: Second quantization, operators in second quantization and diagrammatic representation
Video of lecture https://youtu.be/CQQ6DIuw0R8”
Whiteboard notes https://github.com/ManyBodyPhysics/FYS4480/blob/master/doc/HandwrittenNotes/2023/LectureSeptember7.pdf
Friday: Second quantization and Wick’s theorem
Video of lecture at https://youtu.be/agI_pf7-iTY
Whiteboard notes https://github.com/ManyBodyPhysics/FYS4480/blob/master/doc/HandwrittenNotes/2023/LectureSeptember8.pdf
Lecture Material: These slides, handwritten notes and Szabo and Ostlund sections 2.3 and 2.4. Sections 3.1-3.3 of Shavitt and Bartlett covers most of the material discussed this week.
Second exercise set at https://github.com/ManyBodyPhysics/FYS4480/blob/master/doc/Exercises/2023/ExercisesWeek36.pdf
Week 37, September 11-15¶
Topics to be covered
Thursday: Wick’s theorem
Video of lectue at https://youtu.be/xCbAo4YmXbo
Whiteboard notes https://github.com/ManyBodyPhysics/FYS4480/blob/master/doc/HandwrittenNotes/2023/LectureSeptember14.pdf
Friday: Wrappping up Wick’s theorem, Wick’s generalized theorem and diagrammatic representation, Particle-hole formalism and definition of new reference state, normalordering of operators
Video of lecture at https://youtu.be/S8CFkbbVqVc
Whiteboard notes at https://github.com/ManyBodyPhysics/FYS4480/blob/master/doc/HandwrittenNotes/2023/LectureSeptember15.pdf
Lecture Material: These slides, handwritten notes and chapter 3 of Shavitt and Bartlett covers most of the material discussed this week.
Third exercise set at https://github.com/ManyBodyPhysics/FYS4480/blob/master/doc/Exercises/2023/ExercisesWeek37.pdf
Week 38, September 18-22¶
Topics to be covered
Thursday: Discussion of particle-hole formalism with examples
Video of lecture at https://youtu.be/8JEVx8-7iRU
Whiteboard notes at https://github.com/ManyBodyPhysics/FYS4480/blob/master/doc/HandwrittenNotes/2023/LectureSeptember21.pdf
Friday: Particle-hole formalism and definition of new reference state, normalordering of operators
Video of lecture at https://youtu.be/S1BhtXsxCbE
Whiteboard notes at https://github.com/ManyBodyPhysics/FYS4480/blob/master/doc/HandwrittenNotes/2023/LectureSeptember22.pdf
Lecture Material: These slides, handwritten notes and chapter 3 and 4 of Shavitt and Bartlett covers most of the material discussed this week.
Fourth exercise set at https://github.com/ManyBodyPhysics/FYS4480/blob/master/doc/Exercises/2023/ExercisesWeek38.pdf
Week 39, September 25-29¶
Topics to be covered
Thursday:
Repetition of particle-hole formalism
Diagrammatic representation
Introduction of full configuration interaction theory
Video of lecture at https://youtu.be/AnAbRonMqPc
Whiteboard notes at https://github.com/ManyBodyPhysics/FYS4480/blob/master/doc/HandwrittenNotes/2023/LectureSeptember28.pdf
Friday:
Full configuration interaction (FCI) theory
Lipkin model as an example of applications of FCI theory
Video of lecture at https://youtu.be/fqWAeBiZ_zg
Whiteboard notes at https://github.com/ManyBodyPhysics/FYS4480/blob/master/doc/HandwrittenNotes/2023/LectureSeptember29.pdf
Lecture Material: These slides, handwritten notes
Fifth exercise set at https://github.com/ManyBodyPhysics/FYS4480/blob/master/doc/Exercises/2023/ExercisesWeek39.pdf
Week 40, October 2-6¶
Topics to be covered
Thursday:
Repetition of Full Configuration Interaction theory
Start Hartree-Fock theory
Video of lecture at https://youtu.be/Y0UyyBnCMSw
Whiteboard notes at https://github.com/ManyBodyPhysics/FYS4480/blob/master/doc/HandwrittenNotes/2023/LectureOctober5.pdf
Friday:
Hartree-Fock theory and stability of equations
Video of lecture at https://youtu.be/2NLRRblU7lU
Whiteboard notes at https://github.com/ManyBodyPhysics/FYS4480/blob/master/doc/HandwrittenNotes/2023/LectureOctober6.pdf
Lecture Material: These slides, handwritten notes and Szabo and Ostlund, sections 3.1-3.4
Sixth exercise set at https://github.com/ManyBodyPhysics/FYS4480/blob/master/doc/Exercises/2023/ExercisesWeek40.pdf
Week 41, October 9-13, 2023¶
Topics to be covered
Thursday:
Koopman’s theorem and repetition of derivation of Hartree-Fock theory
Stability of Hartree-Fock theory and Thouless theorem
Video of lecture at https://youtu.be/fIwYYQ9Qjkk
Whiteboard notes https://github.com/ManyBodyPhysics/FYS4480/blob/master/doc/HandwrittenNotes/2023/LectureOctober12.pdf
Friday:
Stability of Hartree-Fock theory and Thouless theorem, continues
Video of lecture at https://youtu.be/NEvKSnyN-og
Whiteboard notes https://github.com/ManyBodyPhysics/FYS4480/blob/master/doc/HandwrittenNotes/2023/LectureOctober13.pdf
Work on first midterm
Lecture Material: These slides, handwritten notes and Szabo and Ostlund, chapter 3. See also Shavitt and Bartlett, chapters 3 and 4 First midterm set at https://github.com/ManyBodyPhysics/FYS4480/blob/master/doc/Exercises/2023/FirstMidterm2023.pdf
Week 42, October 16-20, 2023¶
Topics to be covered
Thursday:
The homogeneous electron gas in three dimensions
Video of lecture at https://youtu.be/bKgFrYpFPsY
Whiteboard notes https://github.com/ManyBodyPhysics/FYS4480/blob/master/doc/HandwrittenNotes/2023/LectureOctober19.pdf o Friday:
Work on first midterm
Lecture Material: These slides and handwritten notes
First midterm set at https://github.com/ManyBodyPhysics/FYS4480/blob/master/doc/Exercises/2023/FirstMidterm2023.pdf
Week 43, October 23-27, 2023¶
Topics to be covered
Thursday:
Linking Hartree-Fock theory with density functional theory
Video of lecture at https://https://youtu.be/zwY6n05uu7o
Whiteboard notes at https://github.com/ManyBodyPhysics/FYS4480/blob/master/doc/HandwrittenNotes/2023/LectureOctober26.pdf
Friday:
Electron gas in three dimensions and links with density functional theory
Video of lecture at https://youtu.be/40SOQTXSgek
Whiteboard notes at https://github.com/ManyBodyPhysics/FYS4480/blob/master/doc/HandwrittenNotes/2023/LectureOctober27.pdf
Lecture Material: These slides, handwritten notes and Shavitt and Bartlett chapter 4 and sections 5.1-5.3
Seventh exercise set at https://github.com/ManyBodyPhysics/FYS4480/blob/master/doc/Exercises/2023/ExercisesWeek43.pdf
Week 44, October 30-November 2, 2023¶
Topics to be covered
Thursday:
Time-independent perturbation theory and links with FCI and Hartree-Fock theory
Examples of contributions to perturbation theory
Video of lecture at https://youtu.be/pkGHRbMGssU
Whiteboard notes at https://github.com/ManyBodyPhysics/FYS4480/blob/master/doc/HandwrittenNotes/2023/LectureNovember2.pdf
Friday:
Many-body perturbation theory, basic equations and examples
Video of lecture https://youtu.be/XcUF7jjEwgM
Whiteboard notes at https://github.com/ManyBodyPhysics/FYS4480/blob/master/doc/HandwrittenNotes/2023/LectureNovember3.pdf
Lecture Material: These slides, handwritten notes and Shavitt and Bartlett chapter 4-6
Eight exercise set at https://github.com/ManyBodyPhysics/FYS4480/blob/master/doc/Exercises/2023/ExercisesWeek44.pdf
Week 45, November 6-10, 2023¶
Topics to be covered
Friday:
Adiabatic hypothesis and linked diagram theorem
Examples of diagrams and discussion of Pauli violating diagrams
Summary of perturbation theory and start discussion of Coupled Cluster theory
Lecture Material: Slides at https://github.com/ManyBodyPhysics/FYS4480/blob/master/doc/src/week45/LatexSlides/slidesweek45.pdf, handwritten notes and Shavitt and Bartlett chapters 4-6
Ninth exercise set at https://github.com/ManyBodyPhysics/FYS4480/blob/master/doc/Exercises/2023/ExercisesWeek45.pdf
Week 46, November 13-17, 2023¶
Topics to be covered
Thursday:
Diagram rules (whiteboard notes)
Examples of diagrams and discussion of Pauli violating diagrams (Whiteboard notes)
Video of lecture at https://youtu.be/rCtpX221u24
Whiteboard notes at https://github.com/ManyBodyPhysics/FYS4480/blob/master/doc/HandwrittenNotes/2023/LectureNovember16.pdf
Friday:
Time-dependent perturbation theory, definitions of Schroedinger, Heisenberg and interaction picture, see slides at https://github.com/ManyBodyPhysics/FYS4480/blob/master/doc/src/week45/LatexSlides/pictures.pdf
Video of lecture at https://youtu.be/8-dnWUDTnS0
Whiteboard notes at https://github.com/ManyBodyPhysics/FYS4480/blob/master/doc/HandwrittenNotes/2023/LectureNovember17.pdf
Lecture Material: Slides at https://github.com/ManyBodyPhysics/FYS4480/blob/master/doc/pub/week46/pdf/slidesweek46.pdf, handwritten notes a
nd Shavitt and Bartlett chapter 4-6Work on second midterm set at https://github.com/ManyBodyPhysics/FYS4480/blob/master/doc/Exercises/2023/SecondMidterm2023.pdf
Week 47, November 20-24, 2023¶
Topics to be covered
Thursday:
Time-dependence, Adiabatic hypothesis and linked diagrams
Green’s functions, basic equations
Video of lecture at https://youtu.be/HOWJ47CqqUc
Whiteboard notes at https://github.com/ManyBodyPhysics/FYS4480/blob/master/doc/HandwrittenNotes/2023/LectureNovember23.pdf
Friday:
Green’s functions, basic equations
Video of lecture at https://youtu.be/UJjlvVJHwhs”
Whiteboard notes at https://github.com/ManyBodyPhysics/FYS4480/blob/master/doc/HandwrittenNotes/2023/LectureNovember24.pdf
Lecture Material: Slides for week 47 at https://github.com/ManyBodyPhysics/FYS4480/blob/master/doc/pub/week47/pdf/slidesweek47.pdf and handwritten notes.
Work on second midterm set at https://github.com/ManyBodyPhysics/FYS4480/blob/master/doc/Exercises/2023/SecondMidterm2023.pdf
Week 48, November 27-December 1, 2023¶
Topics to be covered
Thursday:s
Discussion of second midterm
Friday:
Dyson’s equation and perturbative expansions
Summary of course and discussion of final oral exam
Video of lecture at https://youtu.be/ug-vTAU732w
Whiteboard notes at https://github.com/ManyBodyPhysics/FYS4480/blob/master/doc/HandwrittenNotes/2023/LectureNovember30.pdf
Lecture Material: Slides for week 48 at https://github.com/ManyBodyPhysics/FYS4480/blob/master/doc/pub/week48/pdf/slidesweek48.pdf
Work on second midterm set at https://github.com/ManyBodyPhysics/FYS4480/blob/master/doc/Exercises/2023/SecondMidterm2023.pdf
Week 50, December 19, 2023¶
Final oral exam, schedule via studentweb