Schedule

This course will be delivered in a hybrid mode, with online and on site lectures and on site exercise sessions.

1. 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;

2. Two hours of exercise sessions for work on projects and exercises;

3. Two projects which are graded and count 30% each of the final grade;

4. A final oral exam which counts 40% of the final grade

5. The course is offered as FYS4480 (Master of Science level) and as FYS9480 (PhD level);

6. Videos of teaching material are available via the links at https://www.uio.no/studier/emner/matnat/fys/FYS4480/h23/timeplan/index.html

7. Weekly emails with summary of activities will be mailed to all participants;

Teaching schedule with links to material

Week 34, August 19-23

• Topics to be covered

  • Thursday: Introduction to many-body physics, notations and definitions

    • Video of lecture at https://youtu.be/AIbnm_sBtqA

  • Friday: Discussion of notations and important properties in many-body physics

    • Video of lecture at

• Lecture Material at https://manybodyphysics.github.io/FYS4480/doc/pub/secondquant/html/secondquant-bs.html

Week 35, August 26-30

• Topics to be covered

  • Thursday: Fermion state functions and computation of expectation values in first quantization

  • Video of lecture at https://youtu.be/y6XYhZnRxnc

  • Whiteboard notes at ManyBodyPhysics/FYS4480

• Video of lecture at https://www.youtube.com/

  • 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 ManyBodyPhysics/FYS4480

Week 36, September 2-8

• Topics to be covered

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

  • Video of lecture https://youtu.be/CQQ6DIuw0R8”

  • Whiteboard notes ManyBodyPhysics/FYS4480

  • Friday: Second quantization and Wick’s theorem

  • Video of lecture at https://youtu.be/agI_pf7-iTY

  • Whiteboard notes ManyBodyPhysics/FYS4480

• 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 ManyBodyPhysics/FYS4480

Week 37, September 11-15

• Topics to be covered

  • Thursday: Wick’s theorem

  • Video of lectue at https://youtu.be/xCbAo4YmXbo

  • Whiteboard notes ManyBodyPhysics/FYS4480

  • 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 ManyBodyPhysics/FYS4480

• 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 ManyBodyPhysics/FYS4480

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 ManyBodyPhysics/FYS4480

  • Friday: Particle-hole formalism and definition of new reference state, normalordering of operators

  • Video of lecture at https://youtu.be/S1BhtXsxCbE

  • Whiteboard notes at ManyBodyPhysics/FYS4480

• 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 ManyBodyPhysics/FYS4480

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 ManyBodyPhysics/FYS4480

  • 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 ManyBodyPhysics/FYS4480

• Lecture Material: These slides, handwritten notes

• Fifth exercise set at ManyBodyPhysics/FYS4480

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 ManyBodyPhysics/FYS4480

  • Friday:

    • Hartree-Fock theory and stability of equations

    • Video of lecture at https://youtu.be/2NLRRblU7lU

    • Whiteboard notes at ManyBodyPhysics/FYS4480

• Lecture Material: These slides, handwritten notes and Szabo and Ostlund, sections 3.1-3.4

• Sixth exercise set at ManyBodyPhysics/FYS4480

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 ManyBodyPhysics/FYS4480

  • Friday:

  • Stability of Hartree-Fock theory and Thouless theorem, continues

  • Video of lecture at https://youtu.be/NEvKSnyN-og

  • Whiteboard notes ManyBodyPhysics/FYS4480

  • 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 ManyBodyPhysics/FYS4480

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 ManyBodyPhysics/FYS4480 o Friday:

    • Work on first midterm

• Lecture Material: These slides and handwritten notes

• First midterm set at ManyBodyPhysics/FYS4480

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 ManyBodyPhysics/FYS4480

  • Friday:

    • Electron gas in three dimensions and links with density functional theory

    • Video of lecture at https://youtu.be/40SOQTXSgek

    • Whiteboard notes at ManyBodyPhysics/FYS4480

• Lecture Material: These slides, handwritten notes and Shavitt and Bartlett chapter 4 and sections 5.1-5.3

• Seventh exercise set at ManyBodyPhysics/FYS4480

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 ManyBodyPhysics/FYS4480

  • Friday:

    • Many-body perturbation theory, basic equations and examples

    • Video of lecture https://youtu.be/XcUF7jjEwgM

    • Whiteboard notes at ManyBodyPhysics/FYS4480

• Lecture Material: These slides, handwritten notes and Shavitt and Bartlett chapter 4-6

• Eight exercise set at ManyBodyPhysics/FYS4480

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 ManyBodyPhysics/FYS4480, handwritten notes and Shavitt and Bartlett chapters 4-6

• Ninth exercise set at ManyBodyPhysics/FYS4480

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 ManyBodyPhysics/FYS4480

  • Friday:

    • Time-dependent perturbation theory, definitions of Schroedinger, Heisenberg and interaction picture, see slides at ManyBodyPhysics/FYS4480

    • Video of lecture at https://youtu.be/8-dnWUDTnS0

    • Whiteboard notes at ManyBodyPhysics/FYS4480

• Lecture Material: Slides at ManyBodyPhysics/FYS4480, handwritten notes a
  nd Shavitt and Bartlett chapter 4-6

• Work on second midterm set at ManyBodyPhysics/FYS4480

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 ManyBodyPhysics/FYS4480

  • Friday:

    • Green’s functions, basic equations

    • Video of lecture at https://youtu.be/UJjlvVJHwhs”

    • Whiteboard notes at ManyBodyPhysics/FYS4480

• Lecture Material: Slides for week 47 at ManyBodyPhysics/FYS4480 and handwritten notes.

• Work on second midterm set at ManyBodyPhysics/FYS4480

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 ManyBodyPhysics/FYS4480

• Lecture Material: Slides for week 48 at ManyBodyPhysics/FYS4480

• Work on second midterm set at ManyBodyPhysics/FYS4480

Week 50, December 19, 2023

• Final oral exam, schedule via studentweb