20 citations · 35 across the 3 of their papers we have counts for
Showing nlin.CDShow all
3 papers · 1 filter
nlin.CD2005★ 1 cited
Quantum Graphology
Tsampikos Kottos
We review quantum chaos on graphs. We construct a unitary operator which represents the quantum evolution on the graph and study its spectral and wavefunction statistics. This oper…
nlin.CD2004★ 14 cited
Quantum decay of an open chaotic system: a semiclassical approach
Mathias Puhlmann, Holger Schanz, Tsampikos Kottos +1
We study the quantum probability to survive in an open chaotic system in the framework of the van Vleck-Gutzwiller propagator and present the first such calculation that accounts f…
nlin.CD2003★ 20 cited
Statistical properties of resonance widths for open Quantum Graphs
Tsampikos Kottos, Holger Schanz
We connect quantum compact graphs with infinite leads, and turn them into scattering systems. We derive an exact expression for the scattering matrix, and explain how it is related…