59 citations · 291 across the 11 of their papers we have counts for
5 papers · 1 filter
Eigenfunction Statistics on Quantum Graphs
S. Gnutzmann, J. P. Keating, F. Piotet
We investigate the spatial statistics of the energy eigenfunctions on large quantum graphs. It has previously been conjectured that these should be described by a Gaussian Random W…
Quantum ergodicity on graphs
S. Gnutzmann, J. P. Keating, F. Piotet
We investigate the equidistribution of the eigenfunctions on quantum graphs in the high-energy limit. Our main result is an estimate of the deviations from equidistribution for lar…
Intermediate wave-function statistics
G. Berkolaiko, J. P. Keating, B. Winn
We calculate statistical properties of the eigenfunctions of two quantum systems that exhibit intermediate spectral statistics: star graphs and Seba billiards. First, we show that…
Orbit bifurcations and wavefunction autocorrelations
A. Bäcker, J. P. Keating, S. D. Prado
It was recently shown (Keating & Prado, {\it Proc. R. Soc. Lond. A} {\bf 457}, 1855-1872 (2001)) that, in the semiclassical limit, the scarring of quantum eigenfunctions by classic…
Star graphs and Seba billiards
G. Berkolaiko, E. B. Bogomolny, J. P. Keating
We derive an exact expression for the two-point correlation function for quantum star graphs in the limit as the number of bonds tends to infinity. This turns out to be identical t…