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Entanglement Theory Quantum Correlations

Generalized Thomson problem in arbitrary dimensions and non-euclidean geometries

arXiv
Authors: J. Batle

Year

2013

Paper ID

31557

Status

Preprint

Abstract Read

~2 min

Abstract Words

108

Citations

N/A

Abstract

Systems of identical particles with equal charge are studied under a special type of confinement. These classical particles are free to move inside some convex region S and on the boundary of it Ω the $Sd-1-$ sphere, in our case. We shall show how particles arrange themselves under the sole action of the Coulomb repulsion in many dimensions in the usual Euclidean space, therefore generalizing the so called Thomson problem to many dimensions. Also, we explore how the problem varies when non-Euclidean geometries are considered. We shall see that optimal configurations in all cases possess a high degree of symmetry, regardless of the concomitant dimension or geometry.

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  • This paper contributes to the Entanglement Theory & Quantum Correlations research area in the Quantum Articles archive.
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  • Systems of identical particles with equal charge are studied under a special type of confinement.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1312.1854 [2] arXiv https://arxiv.org/abs/1312.1854 [3] Publisher https://arxiv.org/abs/1312.1854

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