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dc.contributor.advisorThe, Dennis
dc.contributor.authorMartínez Marín, Pau
dc.date.accessioned2023-11-07T10:20:30Z
dc.date.available2023-11-07T10:20:30Z
dc.date.issued2023-08-14
dc.description.abstractThis thesis is concerned with the definition of elementary particles as irreducible projective unitary representations of the Poincaré group. During the contents of this work, we will introduce the relevant prerequisites and results. Concerning differential geometry, we will discuss smooth manifolds, Lie groups and Lie algebras. About quantum mechanics, we will introduce Hilbert spaces and the basic structures of quantum mechanics, together with Wigner’s theorem on symmetries. With respect to special relativity, we will present the Minkowski spacetime as an affine space an derive its group of automorphisms, the Poincaré group. We will finally talk about representations of Lie groups and define an elementary particle to be an irreducible projective representation of the Poincaré group.en_US
dc.identifier.urihttps://hdl.handle.net/10037/31694
dc.language.isoengen_US
dc.publisherUiT Norges arktiske universiteten_US
dc.publisherUiT The Arctic University of Norwayen_US
dc.rights.accessRightsopenAccessen_US
dc.rights.holderCopyright 2023 The Author(s)
dc.rights.urihttps://creativecommons.org/licenses/by-nc-sa/4.0en_US
dc.rightsAttribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)en_US
dc.subject.courseIDMAT-3900
dc.subjectVDP::Mathematics and natural science: 400::Mathematics: 410::Topology/geometry: 415en_US
dc.subjectVDP::Matematikk og Naturvitenskap: 400::Matematikk: 410::Topologi/geometri: 415en_US
dc.titleOn elementary particles as representations of the Poincaré groupen_US
dc.typeMaster thesisen_US
dc.typeMastergradsoppgaveen_US


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Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
Except where otherwise noted, this item's license is described as Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)