38 citations · 64 across the 3 of their papers we have counts for
3 papers
nlin.CD2008★ 26 cited
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…
math-ph2007
Spectra of graphs and semi-conducting polymers
Philipp Schapotschnikow, Sven Gnutzmann
We study the band gap in some semi-conducting polymers with two models: Hückel molecular orbital theory and the so-called free electron model. The two models are directly related t…
nlin.CD2006★ 38 cited
Can one count the shape of a drum?
Sven Gnutzmann, Panos D. Karageorge, Uzy Smilansky
Sequences of nodal counts store information on the geometry (metric) of the domain where the wave equation is considered. To demonstrate this statement, we consider the eigenfuncti…