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The objective of the Thomson problem is to determine the minimum electrostatic potential energy configuration of n electrons constrained to the surface of a unit sphere that repel each other with a force given by Coulomb's law. The physicist J. J. Thomson posed the problem in 1904 after proposing an atomic model, later called the plum pudding model, based on his knowledge of the existence of negatively charged electrons within neutrally-charged atoms.

Attributes	Values
rdfs:label	Thomson-Problem (de) Problema de Thomson (es) Problema di Thomson (it) トムソン問題 (ja) Thomson problem (en) Проблема Томсона (ru)
rdfs:comment	Beim Thomson-Problem sollen n Elektronen so auf der Oberfläche einer Einheitskugel verteilt werden, dass das gesamte elektrostatische Potential, das sich durch die Coulombkraft einstellt, sein Minimum annimmt. Der Physiker Joseph John Thomson formulierte dieses Problem 1904, nachdem er sein Atommodell entwickelte. Mathematisch ist es eines der Smale-Probleme. (de) トムソン問題（トムソンもんだい、英: Thomson problem）は、静電エネルギーが最小になるよう単位球面上に N 個の電子を配置する問題である（電子間力はクーロンの法則に従うものとする）。1904年、物理学者J. J. トムソンが、後年ブドウパンモデルと呼ばれる原子模型の発表後、「（電気的な）中性原子中には、負に帯電した電子が存在している」という知見を基に提出した。この問題に関連して、最小エネルギー配置の幾何の研究や、N を大きくしたときの最小エネルギーの研究がある。 (ja) L'obiettivo del problema di Thomson è di determinare la configurazione di minima energia potenziale elettrica di elettroni vincolati sulla superficie di una sfera unitaria e che si respingono a causa della forza di Coulomb. Il problema fu posto da J. J. Thomson nel 1904 dopo aver proposto un modello atomico, successivamente chiamato modello a panettone, basato sul fatto che gli elettroni sono carichi negativamente mentre gli atomi sono neutri . Problema relativi includono lo studio della geometria della configurazione di minima energia e lo studio del comportamento per molto grandi. (it) El objetivo del problema de Thomson es determinar la configuración de energía potencial electrostática mínima de N electrones restringidos a la superficie de una esfera unitaria que se repelen entre sí con una fuerza dada por la Ley de Coulomb, el físico J. J. Thomson planteó el problema en 1904 después de proponer un modelo atómico, más tarde llamado modelo atómico de Thomson basado en su conocimiento de la existencia de electrones cargados negativamente dentro de átomos con carga neutra. (es) The objective of the Thomson problem is to determine the minimum electrostatic potential energy configuration of n electrons constrained to the surface of a unit sphere that repel each other with a force given by Coulomb's law. The physicist J. J. Thomson posed the problem in 1904 after proposing an atomic model, later called the plum pudding model, based on his knowledge of the existence of negatively charged electrons within neutrally-charged atoms. (en) Задача проблемы Томсона состоит в том, чтобы определить минимальную конфигурацию полной потенциальной энергии электростатического заряда для N электронов, ограниченных поверхностью единичной сферы, которые отталкиваются друг от друга силой, определяемой Законом Кулона. Физик Дж. Дж. Томсон поставил проблему в 1904 г. после того, как предложил модель атома, позже названную пудинговой моделью, основанную на его знаниях о существовании отрицательно заряженных электронов в нейтрально заряженных атомах. (ru)
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dcterms:subject	Electrostatics Circle packing Unsolved problems in mathematics Electron
Wikipage page ID	3104018 (xsd:integer)
Wikipage revision ID	1117588461 (xsd:integer)
Link from a Wikipage to another Wikipage	Electrostatics Electric dipole moment Electron bubble List of geodesic polyhedra and Goldberg polyhedra Antipodal point Circle packing Periodic table Unsolved problems in mathematics Coulomb's law Coulomb constant Geodesic polyhedron Electron Elementary charge Great circle N-sphere Convex hull Equator Equidistant Smale's problems Stephen Smale Colloid Fullerene Unit sphere Topology Triaugmented triangular prism Local search (optimization) Pentakis dodecahedron Edge-contracted icosahedron Superconductivity Plum pudding model Electron J. J. Thomson Tetrahedron Triangle Digon Platonic solid Spherical design Schönflies notation Icosahedron Algorithms Octahedron Virus Snub cube Point groups in three dimensions Random walks Poppy-seed bagel theorem VSEPR theory Tammes problem Electrostatic potential energy Square antiprism Triangular dipyramid Atomic model Abrikosov vortices Pentagonal dipyramid Paul trap Gyroelongated square dipyramid dbr:Whyte's_problem
Link from a Wikipage to an external page	http://thomson.phy.syr.edu/%7Ctitle= https://www.hars.us. http://projecteuclid.org/euclid.em/1067634731 https://www.mcs.anl.gov/~zippy/publications/thomson/thomsonPRL.html http://www-wales.ch.cam.ac.uk/~wales/CCD/Thomson/table.html%7Ctitle=The http://www-wales.ch.cam.ac.uk/~wales/CCD/Thomson2/table.html%7Ctitle=The https://semanticscholar.org/paper/1b79f94c7fb4e328c9684709c3fb781611fe10e2
sameAs	Thomson problem Thomson problem Thomson problem Thomson problem Thomson problem Thomson problem Thomson problem Thomson problem Thomson problem Thomson problem
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