Objectives of Programme's Learning Outcomes

• Collaborate and work in a team.
• Have developed practical skills in physics through practical sessions in the laboratory and sessions during which they have worked individually and in groups.
• Master expertise.
• Have developed the knowledge and skills acquired in the previous cycle to a level that extends beyond the Bachelor's course in Physics, and which provides the basis for the development and implementation of original ideas in a professional context.
• Have acquired knowledge and a thorough understanding of specialist areas of physics in connection with mathematics and/or advanced laboratory practices required for these sectors.
• Have reached a level of knowledge and skill giving them access to the third cycle of the study prgramme / doctoral studies (only for two-year Master courses).
• Provide clear and accurate information.
• Share their knowledge and findings clearly and back them up rationally to specialist and non-specialist audiences.
• Collaborate and work in a team.
• Have developed practical skills in physics through practical sessions in the laboratory and sessions during which they have worked individually and in groups.
• Grow personally and professionally.
• present the appropriate knowledge and skills to the teaching profession in upper secondary school (for students in the teaching sector); the appropriate knowledge and skills for professions using... (for everyone).
• Have developed the skills that will enable them to continue to acquire knowledge independently.
• Have a creative and rigorous scientific approach
• Gather and interpret relevant scientific data and critically analyse it, distinguishing working hypotheses of proven facts.
• Apply their knowledge, understanding and ability to solve problems in new or unfamiliar environments and in multidisciplinary contexts related to physical sciences.

Learning Outcomes of UE

By the end of the course, the student should know the very basics of Relativistic Quantum Field Theory in flat spacetime. In particular, he/she should be able to identify the relevance of the Poincaré and its unitary irreducible representations for the classification of linear relativistic wave equations in flat spacetime. The student should be able to derive the various fundamental relativistic field equations (Klein-Gordon, Dirac, Maxwell, Fronsdal) from a corresponding variational principle. He/she should be able to apply Noether's theorem for relativistic field theories in order to construct conserved current densities.  The student should know our to canonically quantize a free field of arbitrary spin. In particular, how to deal with gauge invariance for the quantization of Maxwell's vector field. He/she should be able to compute the scattering S matrix in time-dependent perturbation theory and explicitly compute some Feynman diagrams at tree level for simple scattering processes in Quantum Electrodynamics.

UE Content: description and pedagogical relevance

Lorentz and  Poincaré groups. Classification of the unitary irreducible representations of the Poincaré group. Variational principles in Relativistic Field Theory: Klein-Gordon, Dirac, Maxwell, Fierz-Pauli and Fronsdal field equations. Gauge invariances and rigid symmetries. Relativistic Hydrogen atom. Noether theorem in Field Theory. Canonical quantization of free fields of spin less than two. Method of Dirac for constained systems. Propagators, Wick theorem. Time-dependent perturbation theory for the scattering S matrix. Reduction formula. Feynmann rules for quantum electrodynamics.

Prior Experience

Classical electrodynamics, analytical mechanics, quantum mechanics, group theory, special relativity and complex analysis.