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tfg_Jutglar_puig_arnau.pdf (1.15 MB)

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Bachelor thesis

Publication date

2024-06-10

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cc-by-nc-nd (c) Arnau Jutglar Puig, 2024
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/220118

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

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Abstract

We 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 spaces

Description

Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2024, Director: Ignasi Mundet i Riera

Subject

Equació de Schrödinger, Grups de Lie, Teoria quàntica, Geometria diferencial, Treballs de fi de grau

Subject (English)

Schrödinger equation, Lie groups, Quantum theory, Differential geometry, Bachelor's theses

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Treballs Finals de Grau (TFG) - Matemàtiques

Citation

JUTGLAR PUIG, Arnau. SO(3) representations for a rationally-symmetric Schrödinger equation. [consulted: 18 of August of 2026]. Available at: https://hdl.handle.net/2445/220118

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