466 citations · 2.7k across the 81 of their papers we have counts for
22 papers · 1 filter
Characterization of Chaotic Evolution in Quantum Systems Induced by Random Hermitian Matrices
Arkady Kurnosov, Sven Gnutzmann, Uzy Smilansky
In a recent paper, a semiclassical Lyapunov exponent associated with a quantum Hamiltonian represented by a finite-dimensional Hermitian matrix was defined and placed on a mathemat…
Transmission through a noisy network
Daniel Waltner, Uzy Smilansky
Quantum graphs with leads to infinity serve as convenient models for studying various aspects of systems which are usually attributed to chaotic scattering. They are also studied i…
Topological Resonances in Scattering on Networks (Graphs)
Sven Gnutzmann, Holger Schanz, Uzy Smilansky
We report on a hitherto unnoticed type of resonances occurring in scattering from networks (quantum graphs) which are due to the complex connectivity of the graph - its topology. W…
Stationary scattering from a nonlinear network
Sven Gnutzmann, Uzy Smilansky, Stanislav Derevyanko
Transmission through a complex network of nonlinear one-dimensional leads is discussed by extending the stationary scattering theory on quantum graphs to the nonlinear regime. We s…
Counting nodal domains on surfaces of revolution
Panos D. Karageorge, Uzy Smilansky
We consider eigenfunctions of the Laplace-Beltrami operator on special surfaces of revolution. For this separable system, the nodal domains of the (real) eigenfunctions form a chec…
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…