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nlin.CD2002★ 34 cited
Form factor for a family of quantum graphs: An expansion to third order
Gregory Berkolaiko, Holger Schanz, Robert S. Whitney
For certain types of quantum graphs we show that the random-matrix form factor can be recovered to at least third order in the scaled time from periodic-orbit theory. We consid…
nlin.CD2001
The Leading Off-Diagonal Correction to the Form Factor of Large Graphs
Gregory Berkolaiko, Holger Schanz, Robert S. Whitney
Using periodic-orbit theory beyond the diagonal approximation we investigate the form factor, , of a generic quantum graph with mixing classical dynamics and time-reversal sy…