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Contacts

Lecture Notes

A Primer on Quantum Mechanics (WORK IN PROGRESS)

Introductory course on quantum mechanics, starting with the Stern-Gerlach experiment to motivate quantum kinematics before moving to wave mechanics.

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Contents
  1. The puzzles with atomic theory
  2. Are electrons particles or waves?
  3. The Stern-Gerlach experiment
  4. The physics of Hilbert spaces
  5. Quantum mechanics for continuous variables
  6. The equations of motion
  7. The ''free'' particle
  8. Square potentials
  9. The harmonic oscillator
  10. Spherical symmetry
  11. Solving the radial equation
  12. Spin
  13. Spontaneous emission of radiation
  14. The failure of hidden variables
  15. The dynamics of measurements

Advanced Quantum Field Theory

Advanced course on quantum field theory, covering the path integral approach to QFT and renormalisation. These were written to serve the similarly named course on the KU Leuven Master of Physics.

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Contents
  1. Deriving the path integral
  2. Computing the path integral
  3. The fermionic path integral
  4. The Wilsonian renormalisation group
  5. Computing RG flows
  6. Connecting with observables: counterterms and infinities
  7. Global symmetries and their anomalies
  8. Abelian gauge theories

Introduction to Renormalisation

Short introductory course on renormalisation in quantum field theory aimed at graduate students.

View on arXiv Download pdf (68 pages)

Contents
  1. Path integrals in quantum mechanics
  2. The Wilsonian renormalisation group
  3. Counterterms and the continuum limit