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Four-dimensional reflection groups and electrostatics

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 نشر من قبل Vanja Dunjko
 تاريخ النشر 2019
  مجال البحث فيزياء
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We present a new class of electrostatics problems that are exactly solvable by adding finitely many image charges. Given a charge at some location inside a cavity bounded by up to four conducting grounded segments of spheres: if the spheres have a symmetry derived via a stereographic projection from a 4D finite reflection group, then this is a solvable generalization of the familiar problem of a charge inside a spherical cavity. There are 19 three-parametric families of finite groups formed by



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