466 citations · 2.7k across the 81 of their papers we have counts for
6 papers · 2 filters
The boundary integral method for magnetic billiards
Klaus Hornberger, Uzy Smilansky
We introduce a boundary integral method for two-dimensional quantum billiards subjected to a constant magnetic field. It allows to calculate spectra and wave functions, in particul…
Trace identities and their semiclassical implications
Uzy Smilansky
The compatibility of the semiclassical quantization of area-preserving maps with some exact identities which follow from the unitarity of the quantum evolution operator is discusse…
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…
Chaotic Scattering on Graphs
Tsampikos Kottos, U. Smilansky
Quantized, compact graphs were shown to be excellent paradigms for quantum chaos in bounded systems. Connecting them with leads to infinity we show that they display all the featur…
Hyperbolic Billiards on Surfaces of Constant Curvature
B. Gutkin, U. Smilansky, E. Gutkin
We establish sufficient conditions for the hyperbolicity of the billiard dynamics on surfaces of constant curvature. This extends known results for planar billiards. Using these co…
Spectral Statistics for Quantum Graphs: Periodic Orbits and Combinatorics
Holger Schanz, Uzy Smilansky
We consider the Schroedinger operator on graphs and study the spectral statistics of a unitary operator which represents the quantum evolution, or a quantum map on the graph. This…