Learning outcomes of the course unit
The goal of this
course is to teach the students to understand the basis of quantum field theory.
classical and quantum mechanics
Course contents summary
Classical field theory and relativistic quantum mechanics.
Classical field theory: Lagrangian and Hamiltonian formulations of classical mechanics and field theory. Symmetries,
conserved currents and Noether's theorem.Examples of real and complex scalar field theory and electromagnetism.
Wienard-Wiechert potentials, scattering Thompson, bremsstrahlung.
Relativistic quantum mechanics: Klein-Gordon equation, negative energy solutions and the need for a quantum theory
of fields. Dirac equation.
Spin and representations of the Lorentz group. Properties of gamma matrices and the Dirac equation. Plane wave
solutions, spin and charge of the electron and positron and charge conjugation.
C. Itzykson, C. Zuber ‘‘Quantun field theory’, McGrow-Hill ed.,
Landau L D Lifschitz E M - Vol 2 - The Classical Theory of Fields
Assessment methods and criteria
homeworks, final written exam