161 citations · 371 across the 12 of their papers we have counts for
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nlin.CD2014
Quantum Graphs and Random-Matrix Theory
Z. Pluhar, H. A. Weidenmüller
For simple connected graphs with incommensurate bond lengths and with unitary symmetry we prove the Bohigas-Giannoni-Schmit conjecture in its most general form. Using supersymmetry…
nlin.CD2013★ 161 cited
Chaotic Scattering on Individual Quantum Graphs
Z. Pluhar, H. A. Weidenmüller
For chaotic scattering on quantum graphs, the semiclassical approximation is exact. We use this fact and employ supersymmetry, the colour-flavour transformation, and the saddle-poi…
nlin.CD2009★ 7 cited
Chaos in fermionic many-body systems and the metal-insulator transition
T. Papenbrock, Z. Pluhar, J. Tithof +1
We show that finite Fermi systems governed by a mean field and a few-body interaction generically possess spectral fluctuations of the Wigner-Dyson type and are, thus, chaotic. Our…