Nodal domain distribution of rectangular drums

Details Nodal domain distribution of rectangular drums Nodal domain distribution of rectangular drums

2005-03-03

arxiv.org/abs/nlin/0503002v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

3 pages, 2 figures, presented in National Conference on Nonlinear Systems and Dynamics (Feb. 24-26, 2005), Aligarh Muslim Univ

Scientific paper

We consider the sequence of nodal counts for eigenfunctions of the
Laplace-Beltrami operator in two dimensional domains. It was conjectured
recently that this sequence stores some information pertaining to the geometry
of the domain, and we show explicitly that this is the case for the family of
rectangular domains with Dirichlet boundary conditions.

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