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https://hdl.handle.net/2445/220118| Title: | SO(3) representations for a rationally-symmetric Schrödinger equation |
| Author: | Jutglar Puig, Arnau |
| Director/Tutor: | Mundet i Riera, Ignasi |
| Keywords: | Equació de Schrödinger Grups de Lie Teoria quàntica Geometria diferencial Treballs de fi de grau Schrödinger equation Lie groups Quantum theory Differential geometry Bachelor's theses |
| Issue Date: | 10-Jun-2024 |
| 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 |
| Note: | Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2024, Director: Ignasi Mundet i Riera |
| URI: | https://hdl.handle.net/2445/220118 |
| Appears in Collections: | Treballs Finals de Grau (TFG) - Matemàtiques |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| tfg_Jutglar_puig_arnau.pdf | Memòria | 1.18 MB | Adobe PDF | View/Open |
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