Spectra of self-adjoint extensions and applications to solvable Schroedinger operators
Mathematical Physics
2008-01-31 v3 math.MP
Spectral Theory
Abstract
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.
Keywords
Cite
@article{arxiv.math-ph/0611088,
title = {Spectra of self-adjoint extensions and applications to solvable Schroedinger operators},
author = {Jochen Bruening and Vladimir Geyler and Konstantin Pankrashkin},
journal= {arXiv preprint arXiv:math-ph/0611088},
year = {2008}
}
Comments
81 pages, new references added, subsection 1.3 extended, typos corrected