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课程:凝聚态物质中的量子多体物理

哔哩哔哩搬运:https://www.bilibili.com/video/BV1nh411S7tK

Course: Quantum Many-Body Physics in Condensed Matter (Luis Gregorio Dias)

https://www.youtube.com/watch?v=zqGkfzeZoxE&list=PL6FyrZIBwD8LMWizZW1FUN2dS_l44yuiy

Course web-page: https://edisciplinas.usp.br/course/view.php?id=79962

课程目录:

  • QMB - Course presentation (2020)
  • 1- Review of Quantum Mechanics
  • 2- Basics of quantum N-body systems
  • 3- Second Quantization
  • 4- Operators in Second Quantization
  • 5- Non-interacting electron gas
  • 6- Mean-field theory
  • 7- Time evolution and representations in quantum mechanics
  • 8- Equations of motion and time-ordered correlation functions
  • 9- Retarded and advanced Green's functions
  • 10- Equations of motion for Green’s functions
  • 11- The Anderson impurity model
  • 12- Schrieffer-Wolff transformation (Kondo model)
  • 13- Linear response theory and Kubo formula
  • 14- Kubo formula for the conductivity and the conductance
  • 15- Electronic transport in the Anderson model
  • 16- Kondo effect and numerical renormalization group
  • 17- Time-ordered Green’s functions and Wick’s theorem
  • 18- Feynman diagrams
  • 19- Dyson’s equations and self-energy
  • 20- Random Phase Approximation (RPA)
  • 21- Matsubara formalism
  • 22- Phonons
  • 23- Phonon Green's functions
  • 24- Cooper instability
  • 25- Introduction to BCS theory
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