PHYS-432: Quantum field theory IIThe goal of the course is to introduce relativistic quantum field theory as the conceptual and mathematical framework describing fundamental interactions such as Quantum Electrodynamics. ...
PHYS-431: Quantum field theory IThe goal of the course is to introduce relativistic quantum field theory as the conceptual and mathematical framework describing fundamental interactions. ...
MATH-410: Riemann surfacesThis course is an introduction to the theory of Riemann surfaces. Riemann surfaces naturally appear is mathematics in many different ways: as a result of analytic continuation, as quotients of complex domains under discontinuous group actions, as algebraic ...
PHYS-757: Axiomatic Quantum Field TheoryPresentation of Wightman's axiomatic framework to QFT as well as to the necessary mathematical objects to their understanding (Hilbert analysis, distributions, group representations,...).
Proofs of the main mathematical consequences (CPT, spin-statistics ...
PHYS-415: Particle physics IPresentation of particle properties, their symmetries and interactions.
Introduction to quantum electrodynamics and to the Feynman rules. ...
MATH-512: Optimization on manifoldsWe develop, analyze and implement numerical algorithms to solve optimization problems of the form min f(x) where x is a point on a smooth manifold. To this end, we first study differential and Riemannian geometry (with a focus dictated by computational con ...
PHYS-744: Advanced Topics in Quantum Sciences and TechnologiesThis course provides an in-depth treatment of the latest experimental and theoretical topics in quantum sciences and technologies, including for example quantum sensing, quantum optics, cold atoms, theory of quantum measurements and open dissipative quantu ...
PHYS-313: Quantum physics IThe objective of this course is to familiarize the student with the concepts, methods and consequences of quantum physics. ...
PHYS-435: Statistical physics IIIThis course introduces statistical field theory, and uses concepts related to phase transitions to discuss a variety of complex systems (random walks and polymers, disordered systems, combinatorial optimisation, information theory and error correcting cod ...
MSE-670: Advanced Microscopy for Magnetic MaterialsTheoretical and practical expertise is gained about the microscopy of spin structures and magnetic configuiations down to the sub-nm
length and sub-ns time scales such as transmission electron microscopy, x-ray and light scattering, magnetic dichroism, and ...
PHYS-411: Physics of atoms, nuclei and elementary particlesIn this lecture, symmetry and conservation law are applied to derive wave functions for elementary particles. Relativistic wave functions are analysed and applied for massive and massless particles. Different ideas on antiparticles are explored. ...