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math-ph2013★ 59 cited
Universal Quantum Graphs
Z. Pluhar, H. A. Weidenmueller
For time-reversal invariant graphs we prove the Bohigas-Giannoni-Schmit conjecture in its most general form: For graphs that are mixing in the classical limit, all spectral correla…
math-ph2012★ 38 cited
Universal Chaotic Scattering on Quantum Graphs
Z. Pluhar, H. A. Weidenmueller
We calculate the S-matrix correlation function for chaotic scattering on quantum graphs and show that it agrees with that of random--matrix theory (RMT). We also calculate all high…
math-ph2009
Spectral fluctuation properties of constrained unitary ensembles of Gaussian-distributed random matrices
Z. Pluhar, H. A. Weidenmueller
We investigate the spectral fluctuation properties of constrained ensembles of random matrices (defined by the condition that a number N(Q) of matrix elements vanish identically; t…