Symmetry in Physics

Faculteit Science and Engineering
Jaar 2020/21
Vakcode WBPH047-05
Vaknaam Symmetry in Physics
Niveau(s) bachelor
Voertaal Engels
Periode semester II a
ECTS 5
Rooster rooster.rug.nl

Uitgebreide vaknaam Symmetry in Physics
Leerdoelen Students learn to identify group theoretical aspects of symmetry in physics.
Students learn to demonstrate properties of groups and of mappings between groups. Students learn to characterize and classify representations of groups with relevance for physics.
Omschrijving Symmetry plays an important role in the description of physical systems. Group theory is a way to treat symmetry systematically. The course starts with the theory of abstract groups, after which the topic of representations will be treated. The lectures will focus on groups of relevance for physics, such as symmetry groups of molecules and crystals (point and space groups), permutation groups, orthogonal and unitary groups, Euclidean, Lorentz and Poincaré groups. Applications of group theory in physics, especially in quantum mechanics, will be given throughout the course. Specific subjects to be covered include: groups, subgroups, conjugacy classes, isometries, homomorphisms, isomorphisms, irreducible representations, Schur's lemmas, characters, character tables, invariant vectors and tensors, symmetry breaking and lifting of degeneracy, tensor product representations, Clebsch-Gordan decompositions, transformations of wave functions and operators, and some aspects of Lie groups and Lie algebras.
Uren per week
Onderwijsvorm Hoorcollege (LC), Werkcollege (T)
(4 hours lectures, 2 hours tutorials)
Toetsvorm Schriftelijk tentamen (WE)
Vaksoort bachelor
Coördinator prof. dr. D. Boer
Docent(en) prof. dr. D. Boer
Verplichte literatuur
Titel Auteur ISBN Prijs
Groups, representations and physics, 2nd ed. H.F. Jones 0-7503-0504-5
Entreevoorwaarden Quantum Physics 1 & 2
Opmerkingen This course was registered last year with course code NASYPH-12
Opgenomen in
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