Generalized Thomson problem in arbitrary dimensions and non-euclidean geometries
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">S and on the boundary of it Ω">Ω (the Sd−1−">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 ... إقراء المزيد