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

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dc.contributor.advisorMathieu, Vincent
dc.contributor.advisorRios Huguet, Arnau
dc.contributor.authorJaner Serramià, Marc
dc.date.accessioned2022-09-06T11:21:31Z
dc.date.available2022-09-06T11:21:31Z
dc.date.issued2022-06
dc.descriptionTreballs Finals de Grau de Física, Facultat de Física, Universitat de Barcelona, Curs: 2022, Tutors: Vincent Mathieu, Arnau Riosca
dc.description.abstractWe 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 solutionca
dc.format.extent5 p.
dc.format.mimetypeapplication/pdf
dc.identifier.urihttps://hdl.handle.net/2445/188725
dc.language.isoengca
dc.rightscc-by-nc-nd (c) Janer, 2022
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessca
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/*
dc.sourceTreballs Finals de Grau (TFG) - Física
dc.subject.classificationProblema dels tres cossoscat
dc.subject.classificationXarxes neuronals (Informàtica)cat
dc.subject.classificationTreballs de fi de graucat
dc.subject.otherThree-body problemeng
dc.subject.otherNeural networks (Computer science)eng
dc.subject.otherBachelor's theseseng
dc.titleA solution to the quantum mechanical three-body problem with neural networkseng
dc.typeinfo:eu-repo/semantics/bachelorThesisca

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