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September 23, 2023


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Tobias Osborne is a researcher in quantum information theory based at the Institut fur Theoretische Physik, Leibniz Universitat Hannover.

Tobias gives a course on advanced quantum theory. This course is intended for theorists with familiarity with basic textbook single-particle quantum mechanics. The main objective is to understand how to study many interacting particles within QM. We will cover second quantisation, scattering theory, and some elementary relativistic quantum mechanics.

Course Curriculum

  • Lecture 01 – The Configuration Space of Multiple Identical Classical Particles Unlimited
  • Lecture 02 – Identical Particles: Configuration Space (cont.), Identical Quantum Particles Unlimited
  • Lecture 03 – Identical Particles: Quantisation and Fibre Bundles Unlimited
  • Lecture 04 – The Construction of Fock Space Unlimited
  • Lecture 05 – The Construction of Fock Space (cont.) Unlimited
  • Lecture 06 – The Construction of Fock Space (cont.) Unlimited
  • Lecture 07 – The Second Quantisation Procedure Unlimited
  • Lecture 08 – The Description of Second Quantised Hamiltonians Unlimited
  • Lecture 09 – Quantum Fields and Coherent States Unlimited
  • Lecture 10 – The Variational Method over Coherent States Unlimited
  • Lecture 11 – The Degenerate Electron Gas Unlimited
  • Lecture 12 – Scattering Theory Unlimited
  • Lecture 13 – Moller Operators and the S-Matrix Unlimited
  • Lecture 14 – The S-Matrix and the Scattering Cross Section Unlimited
  • Lecture 15 – The Optical Theorem, Green’s Functions, and T Operators Unlimited
  • Lecture 16 – Stationary Scattering States Unlimited
  • Lecture 17 – Spatial Description of Scattering Unlimited
  • Lecture 18 – Symmetries and Wigner’s Theorem Unlimited

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