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Configuracions de punts d'energia mínima a l'esfera

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dc.contributor Marzo Sánchez, Jordi
dc.creator Prats i Aymerich, Eduard
dc.date 2018-05-11T08:33:38Z
dc.date 2018-05-11T08:33:38Z
dc.date 2017-06-29
dc.date.accessioned 2024-12-16T10:26:24Z
dc.date.available 2024-12-16T10:26:24Z
dc.identifier http://hdl.handle.net/2445/122289
dc.identifier.uri http://fima-docencia.ub.edu:8080/xmlui/handle/123456789/21030
dc.description Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2017, Director: Jordi Marzo Sánchez
dc.description [en] In 1904, the Nobel Prize in Physics J.J. Thomson, raised the following problem: how to distribute electrons on a spherical surface with the minimal energy. One hundred years later, the problem remains open. In 1998, S. Smale, Fields Medal, proposed a list of eighteen unsolved mathematical problems for the 21st century. The seventh is closely connected with Thomson’s question. In the study of the minimal energy configurations on the sphere or on other surfaces there is still a great deal to do. The researchers discovered connections with coding theory, physics of superconductors, the atomic theory... and the research continues. The objective of this work is bibliographic: to study some of the theoretical basis and questions about optimal spherical configurations of points. Gradually, the approximations we present are more accurate. However, the answer is still far beyond our reach.
dc.format 48 p.
dc.format application/pdf
dc.language cat
dc.rights cc-by-nc-nd (c) Eduard Prats i Aymerich, 2017
dc.rights http://creativecommons.org/licenses/by-nc-nd/3.0/es
dc.rights info:eu-repo/semantics/openAccess
dc.source Treballs Finals de Grau (TFG) - Matemàtiques
dc.subject Àtoms
dc.subject Treballs de fi de grau
dc.subject Electrons
dc.subject Esfera
dc.subject Superfícies (Matemàtica)
dc.subject Teoria de l'aproximació
dc.subject Atoms
dc.subject Bachelor's theses
dc.subject Electrones
dc.subject Sphere
dc.subject Surfaces (Mathematics)
dc.subject Approximation theory
dc.title Configuracions de punts d'energia mínima a l'esfera
dc.type info:eu-repo/semantics/bachelorThesis


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