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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
Appears in Collections:Treballs Finals de Grau (TFG) - Física

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