Article ID Journal Published Year Pages File Type
8201658 Annals of Physics 2016 6 Pages PDF
Abstract
Recently, the nodal domain counts of planar, integrable billiards with Dirichlet boundary conditions were shown to satisfy certain difference equations in Samajdar and Jain (2014). The exact solutions of these equations give the number of domains explicitly. For complete generality, we demonstrate this novel formulation for three additional separable systems and thus extend the statement to all integrable billiards.
Related Topics
Physical Sciences and Engineering Physics and Astronomy Physics and Astronomy (General)
Authors
, , ,