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JANER SERRAMIÀ MARC_6057546_assignsubmission_file_TFG-Janer-Serramia-Marc.pdf (1.33 MB)

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Bachelor thesis

Publication date

2022-06

Publication license

cc-by-nc-nd (c) Janer, 2022
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/188725

A solution to the quantum mechanical three-body problem with neural networks

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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

Description

Treballs Finals de Grau de Física, Facultat de Física, Universitat de Barcelona, Curs: 2022, Tutors: Vincent Mathieu, Arnau Rios

Subject

Problema dels tres cossos, Xarxes neuronals (Informàtica), Treballs de fi de grau

Subject (English)

Three-body problem, Neural networks (Computer science), Bachelor's theses

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Treballs Finals de Grau (TFG) - Física

Citation

JANER SERRAMIÀ, Marc. A solution to the quantum mechanical three-body problem with neural networks. [consulted: 19 of August of 2026]. Available at: https://hdl.handle.net/2445/188725

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