Mundet i Riera, IgnasiJutglar Puig, Arnau2025-03-312025-03-312024-06-10https://hdl.handle.net/2445/220118Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2024, Director: Ignasi Mundet i RieraWe 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 spaces93 p.application/pdfengcc-by-nc-nd (c) Arnau Jutglar Puig, 2024http://creativecommons.org/licenses/by-nc-nd/3.0/es/Equació de SchrödingerGrups de LieTeoria quànticaGeometria diferencialTreballs de fi de grauSchrödinger equationLie groupsQuantum theoryDifferential geometryBachelor's thesesinfo:eu-repo/semantics/bachelorThesisinfo:eu-repo/semantics/openAccess