Universal quantum graphs.
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 correlation functions coincide with those of the Gaussian orthogonal ensemble of random matrices. For open graphs, we derive the analogous identities for all S-matrix correlation functions.
Faculty of Mathematics and Physics, Charles University, 180 00 Praha 8, Czech Republic.
Z
Z
Pluhař
Max-Planck-Institut für Kernphysik, 69029 Heidelberg, Germany.
H A
HA
Weidenmüller