11 citations · 12 across the 2 of their papers we have counts for
5 papers
Random discrete Schrödinger operators from Random Matrix Theory
Jonathan Breuer, Peter J. Forrester, Uzy Smilansky
We investigate random, discrete Schrödiner operators which arise naturally in the theory of random matrices, and depend parametrically on Dyson's Coulomb gas inverse temperature $β…
Nodal domain distribution of rectangular drums
U. Smilansky, R. Sankaranarayanan
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…
Stroboscopic quantization of autonomous systems
Bruno Eckhardt, Uzy Smilansky
We introduce a semiclassical quantization method which is based on a stroboscopic description of the classical and the quantum flows. We show that this approach emerges naturally w…
Combinatorial Identities from the Spectral Theory of Quantum Graphs
Holger Schanz, Uzy Smilansky
We present a few combinatorial identities which were encountered in our work on the spectral theory of quantum graphs. They establish a new connection between the theory of random…
The quantum three-dimensional Sinai billiard - a semiclassical analysis
Harel Primack, Uzy Smilansky
We present a comprehensive semiclassical investigation of the three-dimensional Sinai billiard, addressing a few outstanding problems in "quantum chaos". We were mainly concerned w…