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nlin.CD2003★ 57 cited
Scars on quantum networks ignore the Lyapunov exponent
Holger Schanz, Tsampikos Kottos
We show that enhanced wavefunction localization due to the presence of short unstable orbits and strong scarring can rely on completely different mechanisms. Specifically we find t…
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…