466 citations · 2.7k across the 81 of their papers we have counts for
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quant-ph2024
Information scrambling and chaos induced by a Hermitian Matrix
Sven Gnutzmann, Uzy Smilansky
Given an arbitrary \(V \times V\) Hermitian matrix, considered as a finite discrete quantum Hamiltonian, we use methods from graph and ergodic theories to construct a \textit{quant…
quant-ph2022★ 5 cited
A trace formula for metric graphs with piecewise constant potentials and multi-mode graphs
Sven Gnutzmann, Uzy Smilansky
We generalize the scattering approach to quantum graphs to quantum graphs with with piecewise constant potentials and multiple excitation modes. The free single-mode case is well-k…
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…