1 Mod-01 Lec-01 Introduction, The Klein-Gordon equation
2 Mod-01 Lec-02 Particles and antiparticles, Two component framework
3 Mod-01 Lec-03 Coupling to electromagnetism, Solution of the Coulomb problem
4 Mod-01 Lec-04 Bohr-Sommerfeld semiclassical solution of the Coulomb problem
5 Mod-01 Lec-05 Dirac matrices, Covariant form of the Dirac equation
6 Mod-01 Lec-06 Electromagnetic interactions, Gyromagnetic ratio
7 Mod-01 Lec-07 The Hydrogen atom problem, Symmetries, Parity, Separation of variables
8 Mod-01 Lec-08 The Frobenius method solution, Energy levels and wavefunctions
9 Mod-01 Lec-09 Non-relativistic reduction, The Foldy-Wouthuysen transformation
10 Mod-01 Lec-10 Interpretation of relativistic corrections, Reflection from a potential barrier
11 Mod-01 Lec-11 The Klein paradox, Pair creation process and examples
12 Mod-01 Lec-12 Zitterbewegung, Hole theory and antiparticles
13 Mod-01 Lec-13 Charge conjugation symmetry, Chirality, Projection operators
14 Mod-01 Lec-14 Weyl and Majorana representations of the Dirac equation
15 Mod-01 Lec-15 Time reversal symmetry, The PCT invariance
16 Mod-01 Lec-16 Arrow of time and particle-antiparticle asymmetry, Band theory for graphene
17 Mod-01 Lec-17 Dirac equation structure of low energy graphene states,
18 Mod-02 Lec-18 Groups and symmetries, The Lorentz and Poincare groups
19 Mod-02 Lec-19 Group representations, generators and algebra, Translations, rotations and boosts
20 Mod-02 Lec-20 The spinor representation of SL(2,C), The spin-statistics theorem
21 Mod-02 Lec-21 Finite dimensional representations of the Lorentz group, Euclidean and Galilean groups
22 Mod-02 Lec-22 Classification of one particle states, The little group, Mass, spin and helicity
23 Mod-02 Lec-23 Massive and massless one particle states
24 Mod-02 Lec-24 P and T transformations, Lorentz covariance of spinors
25 Mod-02 Lec-25 Lorentz group classification of Dirac operators, Orthogonality
26 Mod-03 Lec-26 Propagator theory, Non-relativistic case and causality
27 Mod-03 Lec-27 Relativistic case, Particle and antiparticle contributions, Feynman prescription
28 Mod-03 Lec-28 Interactions and formal perturbative theory, The S-matrix and Feynman diagrams
29 Mod-03 Lec-29 Trace theorems for products of Dirac matrices
30 Mod-03 Lec-30 Photons and the gauge symmetry
31 Mod-03 Lec-31 Abelian local gauge symmetry, The covariant derivative and invariants
32 Mod-03 Lec-32 Charge quantisation, Photon propagator, Current conservation and polarisations
33 Mod-03 Lec-33 Feynman rules for Quantum Electrodynamics, Nature of perturbative expansion
34 Mod-03 Lec-34 Dyson\'s analysis of the perturbation series, Singularities of the S-matrix
35 Mod-03 Lec-35 The T-matrix, Coulomb scattering
36 Mod-03 Lec-36 Mott cross-section, Compton scattering
37 Mod-03 Lec-37 Klein-Nishina result for cross-section
38 Mod-03 Lec-38 Photon polarisation sums, Pair production through annihilation
39 Mod-03 Lec-39 Unpolarised and polarised cross-sections
40 Mod-03 Lec-40 Helicity properties, Bound state formation
41 Mod-03 Lec-41 Bound state decay, Non-relativistic potentials
42 Mod-03 Lec-42 Lagrangian formulation of QED, Divergences in Green\'s functions
43 Mod-03 Lec-43 Infrared divergences due to massless particles, Renormalisation
44 Mod-03 Lec-44 Symmetry constraints on Green\'s functions, Furry\'s theorem, Ward-Takahashi identity
45 Mod-03 Lec-45 Status of QED, Organisation of perturbative expansion, Precision tests