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