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

Janer Serramià, Marc

Please use this identifier to cite or link to this item: http://hdl.handle.net/2445/188725

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DC Field	Value	Language
dc.contributor.advisor	Mathieu, Vincent	-
dc.contributor.advisor	Rios Huguet, Arnau	-
dc.contributor.author	Janer Serramià, Marc	-
dc.date.accessioned	2022-09-06T11:21:31Z	-
dc.date.available	2022-09-06T11:21:31Z	-
dc.date.issued	2022-06	-
dc.identifier.uri	http://hdl.handle.net/2445/188725	-
dc.description	Treballs Finals de Grau de Física, Facultat de Física, Universitat de Barcelona, Curs: 2022, Tutors: Vincent Mathieu, Arnau Rios	ca
dc.description.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	ca
dc.format.extent	5 p.	-
dc.format.mimetype	application/pdf	-
dc.language.iso	eng	ca
dc.rights	cc-by-nc-nd (c) Janer, 2022	-
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/3.0/es/	*
dc.source	Treballs Finals de Grau (TFG) - Física	-
dc.subject.classification	Problema dels tres cossos	cat
dc.subject.classification	Xarxes neuronals (Informàtica)	cat
dc.subject.classification	Treballs de fi de grau	cat
dc.subject.other	Three-body problem	eng
dc.subject.other	Neural networks (Computer science)	eng
dc.subject.other	Bachelor's theses	eng
dc.title	A solution to the quantum mechanical three-body problem with neural networks	eng
dc.type	info:eu-repo/semantics/bachelorThesis	ca
dc.rights.accessRights	info:eu-repo/semantics/openAccess	ca
Appears in Collections:	Treballs Finals de Grau (TFG) - Física

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