Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8201658 | Annals of Physics | 2016 | 6 Pages |
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.
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Physical Sciences and Engineering
Physics and Astronomy
Physics and Astronomy (General)
Authors
Naren Manjunath, Rhine Samajdar, Sudhir R. Jain,