Mathematical Methods of Physics II

10 credits

Course, Master's level, 1FA155

Spring 2024 Spring 2024, Uppsala, 67%, On-campus, English

Spring 2024 Spring 2024, Uppsala, 67%, On-campus, English For exchange students

About the course

The course is the direct continuation of the course in Mathematical Methods of Physics. The course deals with advanced topics in mathematical physics: the elements of functional analysis (topological space, metric space, Hilbert space, self-adjoint operators and their application in quantum mechanics), the elements of abstract algebra and group theory (associative, Lie algebra, Lie group, matrix groups, representations), the elements of topology and differential geometry with their application in physics (smooth manifolds, tensors, differential forms, fibre bundles, gauge theory, Yang-Mills theory).

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