PHYS-E0420 - Many-body Quantum Mechanics D, Lecture, 10.1.2024-17.4.2024

Topic outline

• Materials
  • Select activity Lecture 1

    

    Lecture 1 Folder

    • Heisenberg, Schrödinger, and interaction picture of quantum mechanics
      
    • Time-dependent perturbation theory
  • Select activity Lecture 2

    

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    Fermi's golden rule
    

  • Select activity Lecture 3

    

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    • Hartree-Fock model
    • Second quantization...focus on bosons
  • Select activity Lecture 4

    

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    • 2nd quantization continues with fermions
  • Select activity Lecture 5

    

    Lecture 5 Folder

    • Quantization of the electromagnetic field

  • Select activity Lecture 6

    

    Lecture 6 Folder

    • Quantized field interacting with a two-level system
      
  • Select activity Lecture 7

    

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    • Open quantum systems
    • brief appendix on the math of principal values and how they end up in the lecture notes.
  • Select activity Lecture 8

    

    Lecture 8 Folder

    • Bose-Einstein distribution and condensation. Introduction to ultracold quantum gases.
    • Also few pages from Griffiths QM book inluded here.
  • Select activity Lecture 9

    

    Lecture 9 Folder

    • Fermi liquid theory
      
    • Superfluid-Mott insulator transition, quantum phase transitions
  • Select activity Lecture 10

    

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    • Fermi liquid theory continues
    • BCS theory of superconductivity
  • Select activity Lecture 11

    

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    • BCS theory of superconductivity, BCS-BEC crossover
  • Select activity Lecture 12

    

    Lecture 12 Folder

    • Topology and geometry in quantum physics: Berry curvature, Chern number and quantum metric 
    • For completeness there is also 2nd set of slides from wednesday, but contents of that one are not included in the exam area.

    Note: Bernevig book is available electronically at the library. https://ebookcentral.proquest.com/lib/aalto-ebooks/detail.action?docID=4323368