SO(3) representations for a rationally-symmetric Schrödinger equation

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dc.contributor.advisorMundet i Riera, Ignasi
dc.contributor.authorJutglar Puig, Arnau
dc.date.accessioned2025-03-31T09:01:19Z
dc.date.available2025-03-31T09:01:19Z
dc.date.issued2024-06-10
dc.descriptionTreballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2024, Director: Ignasi Mundet i Rieraca
dc.description.abstractWe motivate the study of the representations of SO(3) by showing how it is useful to solve the angular part of the Schrödinger equation for a particle under a central potential, with an emphasis in the Casimir operator. We study finite-dimensional representations and finish with the applications of the Peter-Weyl theorem for representations in homogeneous spacesen
dc.format.extent93 p.
dc.format.mimetypeapplication/pdf
dc.identifier.urihttps://hdl.handle.net/2445/220118
dc.language.isoengca
dc.rightscc-by-nc-nd (c) Arnau Jutglar Puig, 2024
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessca
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/*
dc.sourceTreballs Finals de Grau (TFG) - Matemàtiques
dc.subject.classificationEquació de Schrödingerca
dc.subject.classificationGrups de Lie
dc.subject.classificationTeoria quànticaca
dc.subject.classificationGeometria diferencialca
dc.subject.classificationTreballs de fi de grauca
dc.subject.otherSchrödinger equationen
dc.subject.otherLie groups
dc.subject.otherQuantum theoryen
dc.subject.otherDifferential geometryen
dc.subject.otherBachelor's thesesen
dc.titleSO(3) representations for a rationally-symmetric Schrödinger equationca
dc.typeinfo:eu-repo/semantics/bachelorThesisca

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