| Code | Type | Head of UE | Department’s contact details | Teacher(s) |
|---|---|---|---|---|
| US-M1-MATHFA-015-M | Optional UE | BRIHAYE Yves | S814 - Physique théorique et mathématique |
| Language of instruction | Language of assessment | HT(*) | HTPE(*) | HTPS(*) | HR(*) | HD(*) | Credits | Weighting | Term |
|---|---|---|---|---|---|---|---|---|---|
| Français | 0 | 0 | 0 | 0 | 0 | 9 | 9 |
| AA Code | Teaching Activity (AA) | HT(*) | HTPE(*) | HTPS(*) | HR(*) | HD(*) | Term | |
|---|---|---|---|---|---|---|---|---|
| S-PHYS-049 |
Objectives of general skills
- Have integrated and elaborate mathematical knowledge.
- Mobilise the Bachelor's course in mathematics to address complex issues and have profound mathematical expertise to complement the knowledge developed in the Bachelor's course.
- Use prior knowledge to independently learn high-level mathematics.
- Carry out major projects.
- Independently carry out a major project related to mathematics or mathematical applications. This entails taking into account the complexity of the project, its objectives and the resources available to carry it out.
- Apply innovative methods to solve an unprecedented problem in mathematics or within its applications.
- Mobilise knowledge, and research and analyse various information sources to propose innovative solutions targeted unprecedented issues.
UE's Learning outcomes
Improve our understanding of space time. Show how group representations can help in constructing relativistic equations. Show how it predicts anti-matter. Show how equations can be formulated in terms of variational calulations. Introduce the notion of quantum field theory and its pertubative treatment. Compute tree level Feynmann diagrams
UE Content
Lorentz and Poincaré groups. Representations of these groups. Construction of relativistic covariant equations. Klein-Gordon and Dirac equations. Relativistic Hydrogen atom. Charge conjugaison. Lagrangian approach and Euler-Lagrange equations. Noether theorem Canonical quantization of the Klein-Gordon, Dirac and Maxwell fields. Propagator, Wiick theorem. Perturbative approach of quantum field theory. Feynmann rules for quantum electrodynamics
Prior experience
Concept of special relativity and of quantum mechanics
Term 1 for Integrated Assessment - type
- Written examination
Term 1 for Integrated Assessment - comments
Not applicable
Term 2 for Integrated Assessment - type
- Written examination
Term 2 for Integrated Assessment - comments
Not applicable
Term 3 for Integrated Assessment - type
- Written examination
Term 3 for Integrated Assessment - comments
Not applicable
Resit Assessment for IT - Term 1 (B1BA1) - type
- Written examination
Resit Assessment for IT - Term 1 (B1BA1) - Comments
Not applicable
Type of Teaching Activity/Activities
| AA | |
|---|---|
| S-PHYS-049 |
Mode of delivery
| AA | |
|---|---|
| S-PHYS-049 |
Required Reading
| AA | |
|---|---|
| S-PHYS-049 |
Required Learning Resources/Tools
| AA | |
|---|---|
| S-PHYS-049 |
Recommended Reading
| AA | |
|---|---|
| S-PHYS-049 |
Recommended Learning Resources/Tools
| AA | |
|---|---|
| S-PHYS-049 |
Other Recommended Reading
| AA | |
|---|---|
| S-PHYS-049 |