466 citations · 2.7k across the 81 of their papers we have counts for
82 papers
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…
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…
Time evolution and the Schrödinger equation on time dependent quantum graphs
Uzy Smilansky, Gilad Sofer
The purpose of the present paper is to discuss the time dependent Schrödinger equation on a metric graph with time-dependent edge lengths, and the proper way to pose the problem so…
The Kronig-Penney model in a quadratic channel with interactions. II : Scattering approach
Uzy Smilansky
The main purpose of the present paper is to introduce a scattering approach to the study of the Kronig-Penney model in a quadratic channel with interactions, which was discusse…
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…
Can one hear a matrix? Recovering a real symmetric matrix from its spectral data
Tomasz Maciążek, Uzy Smilansky
The spectrum of a real and symmetric matrix determines the matrix up to unitary equivalence. More spectral data is needed together with some sign indicators to remove t…