Spectra of self-adjoint extensions and applications to solvable Schroedinger operators

Jochen Bruening, Vladimir Geyler, Konstantin Pankrashkin

Published 2006-11-30, updated 2007-09-05Version 3

We give a self-contained presentation of the theory of self-adjoint extensions using the technique of boundary triples. A description of the spectra of self-adjoint extensions in terms of the corresponding Krein maps (Weyl functions) is given. Applications include quantum graphs, point interactions, hybrid spaces, singular perturbations.