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http://hdl.handle.net/2445/188725| Title: | A solution to the quantum mechanical three-body problem with neural networks |
| Author: | Janer Serramià, Marc |
| Director/Tutor: | Mathieu, Vincent Rios Huguet, Arnau |
| Keywords: | Problema dels tres cossos Xarxes neuronals (Informàtica) Treballs de fi de grau Three-body problem Neural networks (Computer science) Bachelor's theses |
| Issue Date: | Jun-2022 |
| Abstract: | We study how a one-layer Artificial Neural Network performs when applied to a quantum three-body problem with a central potential. We use the harmonic oscillator as a benchmark to test how the neural network solution performs upon changing parameters. With the best combination of these, we managed to get the ground state energy with a relative error of 0.03 % with respect to the analytical one, and a wave function with an overlap of the 99.996 % with the analytical solution |
| Note: | Treballs Finals de Grau de Física, Facultat de Física, Universitat de Barcelona, Curs: 2022, Tutors: Vincent Mathieu, Arnau Rios |
| URI: | http://hdl.handle.net/2445/188725 |
| Appears in Collections: | Treballs Finals de Grau (TFG) - Física |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| JANER SERRAMIÀ MARC_6057546_assignsubmission_file_TFG-Janer-Serramia-Marc.pdf | 1.36 MB | Adobe PDF | View/Open |
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