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http://hdl.handle.net/2445/122289
Title: | Configuracions de punts d'energia mínima a l'esfera |
Author: | Prats i Aymerich, Eduard |
Director/Tutor: | Marzo Sánchez, Jordi |
Keywords: | Àtoms Treballs de fi de grau Electrons Esfera Superfícies (Matemàtica) Teoria de l'aproximació Atoms Bachelor's theses Electrones Sphere Surfaces (Mathematics) Approximation theory |
Issue Date: | 29-Jun-2017 |
Abstract: | [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. |
Note: | Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2017, Director: Jordi Marzo Sánchez |
URI: | http://hdl.handle.net/2445/122289 |
Appears in Collections: | Treballs Finals de Grau (TFG) - Matemàtiques |
Files in This Item:
File | Description | Size | Format | |
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memoria.pdf | Memòria | 4.95 MB | Adobe PDF | View/Open |
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