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math-ph2014
Heat-kernel and resolvent asymptotics for Schroedinger operators on metric graphs
Jens Bolte, Sebastian Egger, Ralf Rueckriemen
We consider Schroedinger operators on compact and non-compact (finite) metric graphs. For such operators we analyse their spectra, prove that their resolvents can be represented as…
math-ph2012★ 10 cited
Trace Formulae for quantum graphs with edge potentials
Ralf Rueckriemen, Uzy Smilansky
This work explores the spectra of quantum graphs where the Schrödinger operator on the edges is equipped with a potential. The scattering approach, which was originally introduced…