schedule.md

Quantum mechanics for many-particle systems

Teaching schedule with links to material (Note that material will be added during July and August 2024)

Week 34, August 19-23

• Topics to be covered
  • Thursday: Introduction to many-body physics, notations and definitions
    • Video of lecture https://youtu.be/AIbnm_sBtqA
  • Friday: Discussion of notations and important properties in many-body physics
    • Video of lecture https://youtu.be/so-Cn5nb1Uk
    • Whiteboard notes for week 34 at https://github.com/ManyBodyPhysics/FYS4480/blob/master/doc/HandwrittenNotes/2024/NotesWeek34.pdf
• Lecture Material: https://github.com/ManyBodyPhysics/FYS4480/tree/master/doc/pub/week34, see either jupyter-notebook or pdf file
• First exercise set at https://github.com/ManyBodyPhysics/FYS4480/blob/master/doc/Exercises/2024/ExercisesWeek34.pdf

Video of lecture TBA at URL:" o "

Week 35, August 26-30

• Topics to be covered
  • Thursday: Fermion and boson state functions and computation of expectation values in first quantization
    • Video of lecture TBA https://www.youtube.com/
  • Friday: Introduction of second quantization
    • Video of lecture TBA https://youtu.be/
• Lecture Material: https://github.com/ManyBodyPhysics/FYS4480/tree/master/doc/pub/week35, see either jupyter-notebook or pdf file
• Second exercise set at https://github.com/ManyBodyPhysics/FYS4480/blob/master/doc/Exercises/2024/ExercisesWeek35.pdf

Week 36, September 2-6

• Topics to be covered
  • Thursday: Second quantization, operators in second quantization and diagrammatic representation
  • Video of lecture https://youtu.be/
  • Whiteboard notes https://github.com/ManyBodyPhysics/FYS4480/blob/master/doc/HandwrittenNotes/2024/LectureSeptember7.pdf
  • Friday: Second quantization and Wick's theorem
  • Video of lecture TBA https://youtu.be/
• Lecture Material: https://github.com/ManyBodyPhysics/FYS4480/tree/master/doc/pub/week36, see either jupyter-notebook or pdf file
• Third exercise set at https://github.com/ManyBodyPhysics/FYS4480/blob/master/doc/Exercises/2024/ExercisesWeek36.pdf

Week 37, September 9-13

• Topics to be covered
  • Thursday: Wick's theorem
  • Video of lectue at https://youtu.be/
  • 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 TBA https://youtu.be/S8CFkbbVqVc
• Lecture Material: https://github.com/ManyBodyPhysics/FYS4480/tree/master/doc/pub/week37, see either jupyter-notebook or pdf file
• Fourth exercise set at https://github.com/ManyBodyPhysics/FYS4480/blob/master/doc/Exercises/2024/ExercisesWeek37.pdf

Week 38, September 16-20

• Topics to be covered
  • Thursday: Discussion of particle-hole formalism with examples
  • Video of lecture TBA https://youtu.be/
  • Friday: Particle-hole formalism and definition of new reference state, normalordering of operators
  • Video of lecture TBA https://youtu.be/
• Lecture Material: https://github.com/ManyBodyPhysics/FYS4480/tree/master/doc/pub/week38, see either jupyter-notebook or pdf file
• Fifth exercise set at https://github.com/ManyBodyPhysics/FYS4480/blob/master/doc/Exercises/2024/ExercisesWeek38.pdf

Week 39, September 23-27

• Topics to be covered
  • Thursday:
    • Repetition of particle-hole formalism
    • Diagrammatic representation
    • Introduction of full configuration interaction theory
    • Video of lecture TBA https://youtu.be/
  • Friday:
    • Full configuration interaction (FCI) theory
    • Lipkin model as an example of applications of FCI theory
    • Video of lecture TBA https://youtu.be/
• Lecture Material: https://github.com/ManyBodyPhysics/FYS4480/tree/master/doc/pub/week39, see either jupyter-notebook or pdf file
• Sixth exercise set at https://github.com/ManyBodyPhysics/FYS4480/blob/master/doc/Exercises/2024/ExercisesWeek39.pdf

Week 40, September 30-October 4

• Topics to be covered
  • Thursday:
    • Repetition of Full Configuration Interaction theory
    • Start Hartree-Fock theory
    • Video of lecture TBA https://youtu.be/
  • Friday:
    • Hartree-Fock theory and stability of equations
    • Video of lecture TBA https://youtu.be
• Lecture Material: https://github.com/ManyBodyPhysics/FYS4480/tree/master/doc/pub/week40, see either jupyter-notebook or pdf file
• Seventh exercise set at https://github.com/ManyBodyPhysics/FYS4480/blob/master/doc/Exercises/2024/ExercisesWeek40.pdf

Week 41, October 7-11, 2024

• 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 TBA https://youtu.be/
  • Friday:
  • Stability of Hartree-Fock theory and Thouless theorem, continues
  • Video of lecture TBA https://youtu.be
  • Work on first midterm
• Lecture Material: https://github.com/ManyBodyPhysics/FYS4480/tree/master/doc/pub/week41, see either jupyter-notebook or pdf file First midterm set at https://github.com/ManyBodyPhysics/FYS4480/blob/master/doc/Exercises/2024/FirstMidterm2024.pdf

Week 42, October 14-18, 2024

• Topics to be covered
  • Thursday:
    • The homogeneous electron gas in three dimensions
    • Video of lecture TBA https://youtu.be/ o Friday:
    • The homogeneous electron gas in three and two and two dimensions
• Lecture Material: https://github.com/ManyBodyPhysics/FYS4480/tree/master/doc/pub/week42, see either jupyter-notebook or pdf file
• First midterm set at https://github.com/ManyBodyPhysics/FYS4480/blob/master/doc/Exercises/2024/FirstMidterm2024.pdf

Week 43, October 21-25, 2024

• Topics to be covered
  • Thursday:
    • Linking Hartree-Fock theory with density functional theory
    • Video of lecture TBA https://https://youtu.be/
  • Friday:
    • Electron gas in three dimensions and links with density functional theory
    • Video of lecture TBA https://youtu.be/
• Lecture Material: https://github.com/ManyBodyPhysics/FYS4480/tree/master/doc/pub/week43, see either jupyter-notebook or pdf file
• Eight exercise set at https://github.com/ManyBodyPhysics/FYS4480/blob/master/doc/Exercises/2024/ExercisesWeek43.pdf

Week 44, October 28-November 1, 2024

• Topics to be covered
  • Thursday:
    • Time-independent perturbation theory and diagrammatic representation
    • Examples of contributions to perturbation theory
    • Video of lecture TBA https://youtu.be/
• Friday:
  • Many-body perturbation theory, basic equations
  • Video of lecture https://youtu.be/
• Lecture Material: https://github.com/ManyBodyPhysics/FYS4480/tree/master/doc/pub/week44, see either jupyter-notebook or pdf file
• Ninth exercise set at https://github.com/ManyBodyPhysics/FYS4480/blob/master/doc/Exercises/2024/ExercisesWeek44.pdf

Week 45, November 4-8, 2024

• Topics to be covered
  • Thursday:
    • Adiabatic hypothesis and linked diagram theorem
    • Examples of diagrams and discussion of Pauli violating diagrams
  • Friday:
    • TBA
• Lecture Material: https://github.com/ManyBodyPhysics/FYS4480/tree/master/doc/pub/week45, see either jupyter-notebook or pdf file
• Tenth exercise set at https://github.com/ManyBodyPhysics/FYS4480/blob/master/doc/Exercises/2024/ExercisesWeek45.pdf

Week 46, November 11-15, 2024

• Topics to be covered
  • Thursday:
    • Diagram rules
    • Video of lecture TBA https://youtu.be/
  • Friday:
    • Time-dependent perturbation theory, definitions of Schroedinger, Heisenberg and interaction picture
    • Video of lecture TBA https://youtu.be
• Lecture Material: https://github.com/ManyBodyPhysics/FYS4480/tree/master/doc/pub/week46, see either jupyter-notebook or pdf file
• Work on second midterm set at https://github.com/ManyBodyPhysics/FYS4480/blob/master/doc/Exercises/2024/SecondMidterm2024.pdf

Week 47, November 18-22, 2024

• Topics to be covered
  • Thursday:
    • Time-dependence, Adiabatic hypothesis and linked diagrams
    • Green's functions, basic equations
    • Video of lecture TBA https://youtu.be/
  • Friday:
    • Green's functions, basic equations
    • Video of lecture TBA https://youtu.be/
• Lecture Material: https://github.com/ManyBodyPhysics/FYS4480/tree/master/doc/pub/week47, see either jupyter-notebook or pdf file
• Work on second midterm set at https://github.com/ManyBodyPhysics/FYS4480/blob/master/doc/Exercises/2024/SecondMidterm2024.pdf

Week 48, November 25-29, 2024

• Topics to be covered
  • Thursday:s
    • TBA
  • Friday:
    • Dyson's equation and perturbative expansions
    • Summary of course and discussion of final oral exam
    • Video of lecture TBA https://youtu.be/
• Lecture Material: https://github.com/ManyBodyPhysics/FYS4480/tree/master/doc/pub/week48, see either jupyter-notebook or pdf file
• Work on second midterm set at https://github.com/ManyBodyPhysics/FYS4480/blob/master/doc/Exercises/2024/SecondMidterm2024.pdf

Week 50, December 16-20, 2024

• Final oral exam, time to be decided and schedule will be availbale via studentweb