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A difference-equation formalism for the nodal domains of separable billiards

Manjunath, Naren and Samajdar, Rhine and Jain, Sudhir R (2016) A difference-equation formalism for the nodal domains of separable billiards. In: ANNALS OF PHYSICS, 372 . pp. 68-73.

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Official URL: http://dx.doi.org/10.1016/j.aop.2016.04.014

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. (C) 2016 Elsevier Inc. All rights reserved.

Item Type: Journal Article
Additional Information: Copy right for this article belongs to the ACADEMIC PRESS INC ELSEVIER SCIENCE, 525 B ST, STE 1900, SAN DIEGO, CA 92101-4495 USA
Department/Centre: Division of Physical & Mathematical Sciences > Physics
Depositing User: Id for Latest eprints
Date Deposited: 22 Oct 2016 10:12
Last Modified: 09 Nov 2018 06:13
URI: http://eprints.iisc.ac.in/id/eprint/55083

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