181 citations · 771 across the 48 of their papers we have counts for
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math-ph2008
Approximation of quantum graph vertex couplings by scaled Schrödinger operators on thin branched manifolds
Pavel Exner, Olaf Post
We discuss approximations of vertex couplings of quantum graphs using families of thin branched manifolds. We show that if a Neumann type Laplacian on such manifolds is amended by…
math-ph2008★ 16 cited
Equilateral quantum graphs and boundary triples
Olaf Post
The aim of the present paper is to analyse the spectrum of Laplace and Dirac type operators on metric graphs. In particular, we show for equilateral graphs how the spectrum (up to…