17 citations · 31 across the 3 of their papers we have counts for
3 papers
math-ph2011★ 17 cited
Nodal domains of a non-separable problem - the right angled isosceles triangle
Amit Aronovitch, Ram Band, David Fajman +1
We study the nodal set of eigenfunctions of the Laplace operator on the right angled isosceles triangle. A local analysis of the nodal pattern provides an algorithm for computing t…
quant-ph2010★ 4 cited
Trace formula for counting nodal domains on the boundaries of chaotic 2D billiards
Amit Aronovitch, Uzy Smilansky
Given a Dirichlet eigenfunction of a 2D quantum billiard, the boundary domain count is the number of intersections of the nodal lines with the boundary. We study the integer sequen…
nlin.CD2007★ 10 cited
The Statistics of the Points Where Nodal Lines Intersect a Reference Curve
Amit Aronovitch, Uzy Smilansky
We study the intersection points of a fixed planar curve with the nodal set of a translationally invariant and isotropic Gaussian random field $Ψ(\bi{r})$ and the zeros of its…